octave-nkf: libcruft/arpack/src/snaitr.f annotate

annotate libcruft/arpack/src/snaitr.f @ 12274:9f5d2ef078e8 release-3-4-x

import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1

author	John W. Eaton <jwe@octave.org>
date	Fri, 28 Jan 2011 14:04:33 -0500
parents
children

rev	line source
12274 9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	1 c-----------------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	2 c\BeginDoc
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	3 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	4 c\Name: snaitr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	5 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	6 c\Description:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	7 c Reverse communication interface for applying NP additional steps to
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	8 c a K step nonsymmetric Arnoldi factorization.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	9 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	10 c Input: OPV_{k} - V_{k}H = r_{k}*e_{k}^T
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	11 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	12 c with (V_{k}^T)BV_{k} = I, (V_{k}^T)Br_{k} = 0.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	13 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	14 c Output: OPV_{k+p} - V_{k+p}H = r_{k+p}*e_{k+p}^T
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	15 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	16 c with (V_{k+p}^T)BV_{k+p} = I, (V_{k+p}^T)Br_{k+p} = 0.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	17 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	18 c where OP and B are as in snaupd. The B-norm of r_{k+p} is also
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	19 c computed and returned.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	20 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	21 c\Usage:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	22 c call snaitr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	23 c ( IDO, BMAT, N, K, NP, NB, RESID, RNORM, V, LDV, H, LDH,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	24 c IPNTR, WORKD, INFO )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	25 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	26 c\Arguments
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	27 c IDO Integer. (INPUT/OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	28 c Reverse communication flag.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	29 c -------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	30 c IDO = 0: first call to the reverse communication interface
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	31 c IDO = -1: compute Y = OP * X where
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	32 c IPNTR(1) is the pointer into WORK for X,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	33 c IPNTR(2) is the pointer into WORK for Y.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	34 c This is for the restart phase to force the new
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	35 c starting vector into the range of OP.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	36 c IDO = 1: compute Y = OP * X where
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	37 c IPNTR(1) is the pointer into WORK for X,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	38 c IPNTR(2) is the pointer into WORK for Y,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	39 c IPNTR(3) is the pointer into WORK for B * X.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	40 c IDO = 2: compute Y = B * X where
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	41 c IPNTR(1) is the pointer into WORK for X,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	42 c IPNTR(2) is the pointer into WORK for Y.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	43 c IDO = 99: done
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	44 c -------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	45 c When the routine is used in the "shift-and-invert" mode, the
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	46 c vector B * Q is already available and do not need to be
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	47 c recompute in forming OP * Q.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	48 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	49 c BMAT Character*1. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	50 c BMAT specifies the type of the matrix B that defines the
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	51 c semi-inner product for the operator OP. See snaupd.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	52 c B = 'I' -> standard eigenvalue problem Ax = lambdax
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	53 c B = 'G' -> generalized eigenvalue problem Ax = lambdaM**x
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	54 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	55 c N Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	56 c Dimension of the eigenproblem.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	57 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	58 c K Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	59 c Current size of V and H.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	60 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	61 c NP Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	62 c Number of additional Arnoldi steps to take.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	63 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	64 c NB Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	65 c Blocksize to be used in the recurrence.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	66 c Only work for NB = 1 right now. The goal is to have a
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	67 c program that implement both the block and non-block method.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	68 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	69 c RESID Real array of length N. (INPUT/OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	70 c On INPUT: RESID contains the residual vector r_{k}.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	71 c On OUTPUT: RESID contains the residual vector r_{k+p}.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	72 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	73 c RNORM Real scalar. (INPUT/OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	74 c B-norm of the starting residual on input.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	75 c B-norm of the updated residual r_{k+p} on output.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	76 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	77 c V Real N by K+NP array. (INPUT/OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	78 c On INPUT: V contains the Arnoldi vectors in the first K
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	79 c columns.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	80 c On OUTPUT: V contains the new NP Arnoldi vectors in the next
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	81 c NP columns. The first K columns are unchanged.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	82 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	83 c LDV Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	84 c Leading dimension of V exactly as declared in the calling
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	85 c program.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	86 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	87 c H Real (K+NP) by (K+NP) array. (INPUT/OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	88 c H is used to store the generated upper Hessenberg matrix.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	89 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	90 c LDH Integer. (INPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	91 c Leading dimension of H exactly as declared in the calling
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	92 c program.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	93 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	94 c IPNTR Integer array of length 3. (OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	95 c Pointer to mark the starting locations in the WORK for
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	96 c vectors used by the Arnoldi iteration.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	97 c -------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	98 c IPNTR(1): pointer to the current operand vector X.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	99 c IPNTR(2): pointer to the current result vector Y.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	100 c IPNTR(3): pointer to the vector B * X when used in the
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	101 c shift-and-invert mode. X is the current operand.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	102 c -------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	103 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	104 c WORKD Real work array of length 3*N. (REVERSE COMMUNICATION)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	105 c Distributed array to be used in the basic Arnoldi iteration
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	106 c for reverse communication. The calling program should not
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	107 c use WORKD as temporary workspace during the iteration !!!!!!
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	108 c On input, WORKD(1:N) = B*RESID and is used to save some
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	109 c computation at the first step.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	110 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	111 c INFO Integer. (OUTPUT)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	112 c = 0: Normal exit.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	113 c > 0: Size of the spanning invariant subspace of OP found.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	114 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	115 c\EndDoc
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	116 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	117 c-----------------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	118 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	119 c\BeginLib
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	120 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	121 c\Local variables:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	122 c xxxxxx real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	123 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	124 c\References:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	125 c 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	126 c a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	127 c pp 357-385.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	128 c 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	129 c Restarted Arnoldi Iteration", Rice University Technical Report
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	130 c TR95-13, Department of Computational and Applied Mathematics.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	131 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	132 c\Routines called:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	133 c sgetv0 ARPACK routine to generate the initial vector.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	134 c ivout ARPACK utility routine that prints integers.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	135 c arscnd ARPACK utility routine for timing.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	136 c smout ARPACK utility routine that prints matrices
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	137 c svout ARPACK utility routine that prints vectors.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	138 c slabad LAPACK routine that computes machine constants.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	139 c slamch LAPACK routine that determines machine constants.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	140 c slascl LAPACK routine for careful scaling of a matrix.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	141 c slanhs LAPACK routine that computes various norms of a matrix.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	142 c sgemv Level 2 BLAS routine for matrix vector multiplication.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	143 c saxpy Level 1 BLAS that computes a vector triad.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	144 c sscal Level 1 BLAS that scales a vector.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	145 c scopy Level 1 BLAS that copies one vector to another .
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	146 c sdot Level 1 BLAS that computes the scalar product of two vectors.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	147 c snrm2 Level 1 BLAS that computes the norm of a vector.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	148 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	149 c\Author
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	150 c Danny Sorensen Phuong Vu
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	151 c Richard Lehoucq CRPC / Rice University
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	152 c Dept. of Computational & Houston, Texas
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	153 c Applied Mathematics
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	154 c Rice University
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	155 c Houston, Texas
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	156 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	157 c\Revision history:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	158 c xx/xx/92: Version ' 2.4'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	159 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	160 c\SCCS Information: @(#)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	161 c FILE: naitr.F SID: 2.4 DATE OF SID: 8/27/96 RELEASE: 2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	162 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	163 c\Remarks
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	164 c The algorithm implemented is:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	165 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	166 c restart = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	167 c Given V_{k} = [v_{1}, ..., v_{k}], r_{k};
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	168 c r_{k} contains the initial residual vector even for k = 0;
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	169 c Also assume that rnorm = \|\| Br_{k} \|\| and Br_{k} are already
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	170 c computed by the calling program.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	171 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	172 c betaj = rnorm ; p_{k+1} = B*r_{k} ;
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	173 c For j = k+1, ..., k+np Do
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	174 c 1) if ( betaj < tol ) stop or restart depending on j.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	175 c ( At present tol is zero )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	176 c if ( restart ) generate a new starting vector.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	177 c 2) v_{j} = r(j-1)/betaj; V_{j} = [V_{j-1}, v_{j}];
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	178 c p_{j} = p_{j}/betaj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	179 c 3) r_{j} = OP*v_{j} where OP is defined as in snaupd
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	180 c For shift-invert mode p_{j} = B*v_{j} is already available.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	181 c wnorm = \|\| OP*v_{j} \|\|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	182 c 4) Compute the j-th step residual vector.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	183 c w_{j} = V_{j}^T * B * OP * v_{j}
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	184 c r_{j} = OPv_{j} - V_{j} w_{j}
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	185 c H(:,j) = w_{j};
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	186 c H(j,j-1) = rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	187 c rnorm = \|\| r_(j) \|\|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	188 c If (rnorm > 0.717*wnorm) accept step and go back to 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	189 c 5) Re-orthogonalization step:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	190 c s = V_{j}'Br_{j}
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	191 c r_{j} = r_{j} - V_{j}*s; rnorm1 = \|\| r_{j} \|\|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	192 c alphaj = alphaj + s_{j};
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	193 c 6) Iterative refinement step:
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	194 c If (rnorm1 > 0.717*rnorm) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	195 c rnorm = rnorm1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	196 c accept step and go back to 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	197 c Else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	198 c rnorm = rnorm1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	199 c If this is the first time in step 6), go to 5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	200 c Else r_{j} lies in the span of V_{j} numerically.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	201 c Set r_{j} = 0 and rnorm = 0; go to 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	202 c EndIf
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	203 c End Do
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	204 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	205 c\EndLib
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	206 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	207 c-----------------------------------------------------------------------
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	208 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	209 subroutine snaitr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	210 & (ido, bmat, n, k, np, nb, resid, rnorm, v, ldv, h, ldh,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	211 & ipntr, workd, info)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	212 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	213 c %----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	214 c \| Include files for debugging and timing information \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	215 c %----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	216 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	217 include 'debug.h'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	218 include 'stat.h'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	219 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	220 c %------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	221 c \| Scalar Arguments \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	222 c %------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	223 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	224 character bmat*1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	225 integer ido, info, k, ldh, ldv, n, nb, np
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	226 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	227 & rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	228 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	229 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	230 c \| Array Arguments \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	231 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	232 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	233 integer ipntr(3)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	234 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	235 & h(ldh,k+np), resid(n), v(ldv,k+np), workd(3*n)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	236 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	237 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	238 c \| Parameters \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	239 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	240 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	241 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	242 & one, zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	243 parameter (one = 1.0E+0, zero = 0.0E+0)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	244 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	245 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	246 c \| Local Scalars \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	247 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	248 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	249 logical first, orth1, orth2, rstart, step3, step4
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	250 integer ierr, i, infol, ipj, irj, ivj, iter, itry, j, msglvl,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	251 & jj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	252 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	253 & betaj, ovfl, temp1, rnorm1, smlnum, tst1, ulp, unfl,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	254 & wnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	255 save first, orth1, orth2, rstart, step3, step4,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	256 & ierr, ipj, irj, ivj, iter, itry, j, msglvl, ovfl,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	257 & betaj, rnorm1, smlnum, ulp, unfl, wnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	258 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	259 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	260 c \| Local Array Arguments \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	261 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	262 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	263 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	264 & xtemp(2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	265 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	266 c %----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	267 c \| External Subroutines \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	268 c %----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	269 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	270 external saxpy, scopy, sscal, sgemv, sgetv0, slabad,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	271 & svout, smout, ivout, arscnd
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	272 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	273 c %--------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	274 c \| External Functions \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	275 c %--------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	276 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	277 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	278 & sdot, snrm2, slanhs, slamch
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	279 external sdot, snrm2, slanhs, slamch
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	280 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	281 c %---------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	282 c \| Intrinsic Functions \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	283 c %---------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	284 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	285 intrinsic abs, sqrt
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	286 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	287 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	288 c \| Data statements \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	289 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	290 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	291 data first / .true. /
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	292 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	293 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	294 c \| Executable Statements \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	295 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	296 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	297 if (first) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	298 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	299 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	300 c \| Set machine-dependent constants for the \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	301 c \| the splitting and deflation criterion. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	302 c \| If norm(H) <= sqrt(OVFL), \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	303 c \| overflow should not occur. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	304 c \| REFERENCE: LAPACK subroutine slahqr \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	305 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	306 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	307 unfl = slamch( 'safe minimum' )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	308 ovfl = one / unfl
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	309 call slabad( unfl, ovfl )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	310 ulp = slamch( 'precision' )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	311 smlnum = unfl*( n / ulp )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	312 first = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	313 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	314 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	315 if (ido .eq. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	316 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	317 c %-------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	318 c \| Initialize timing statistics \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	319 c \| & message level for debugging \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	320 c %-------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	321 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	322 call arscnd (t0)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	323 msglvl = mnaitr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	324 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	325 c %------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	326 c \| Initial call to this routine \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	327 c %------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	328 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	329 info = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	330 step3 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	331 step4 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	332 rstart = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	333 orth1 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	334 orth2 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	335 j = k + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	336 ipj = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	337 irj = ipj + n
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	338 ivj = irj + n
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	339 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	340 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	341 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	342 c \| When in reverse communication mode one of: \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	343 c \| STEP3, STEP4, ORTH1, ORTH2, RSTART \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	344 c \| will be .true. when .... \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	345 c \| STEP3: return from computing OP*v_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	346 c \| STEP4: return from computing B-norm of OP*v_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	347 c \| ORTH1: return from computing B-norm of r_{j+1} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	348 c \| ORTH2: return from computing B-norm of \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	349 c \| correction to the residual vector. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	350 c \| RSTART: return from OP computations needed by \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	351 c \| sgetv0. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	352 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	353 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	354 if (step3) go to 50
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	355 if (step4) go to 60
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	356 if (orth1) go to 70
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	357 if (orth2) go to 90
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	358 if (rstart) go to 30
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	359 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	360 c %-----------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	361 c \| Else this is the first step \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	362 c %-----------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	363 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	364 c %--------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	365 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	366 c \| A R N O L D I I T E R A T I O N L O O P \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	367 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	368 c \| Note: B*r_{j-1} is already in WORKD(1:N)=WORKD(IPJ:IPJ+N-1) \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	369 c %--------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	370
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	371 1000 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	372 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	373 if (msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	374 call ivout (logfil, 1, j, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	375 & '_naitr: generating Arnoldi vector number')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	376 call svout (logfil, 1, rnorm, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	377 & '_naitr: B-norm of the current residual is')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	378 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	379 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	380 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	381 c \| STEP 1: Check if the B norm of j-th residual \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	382 c \| vector is zero. Equivalent to determing whether \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	383 c \| an exact j-step Arnoldi factorization is present. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	384 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	385 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	386 betaj = rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	387 if (rnorm .gt. zero) go to 40
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	388 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	389 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	390 c \| Invariant subspace found, generate a new starting \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	391 c \| vector which is orthogonal to the current Arnoldi \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	392 c \| basis and continue the iteration. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	393 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	394 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	395 if (msglvl .gt. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	396 call ivout (logfil, 1, j, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	397 & '_naitr: **** RESTART AT STEP ****')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	398 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	399 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	400 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	401 c \| ITRY is the loop variable that controls the \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	402 c \| maximum amount of times that a restart is \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	403 c \| attempted. NRSTRT is used by stat.h \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	404 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	405 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	406 betaj = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	407 nrstrt = nrstrt + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	408 itry = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	409 20 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	410 rstart = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	411 ido = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	412 30 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	413 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	414 c %--------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	415 c \| If in reverse communication mode and \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	416 c \| RSTART = .true. flow returns here. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	417 c %--------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	418 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	419 call sgetv0 (ido, bmat, itry, .false., n, j, v, ldv,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	420 & resid, rnorm, ipntr, workd, ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	421 if (ido .ne. 99) go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	422 if (ierr .lt. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	423 itry = itry + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	424 if (itry .le. 3) go to 20
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	425 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	426 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	427 c \| Give up after several restart attempts. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	428 c \| Set INFO to the size of the invariant subspace \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	429 c \| which spans OP and exit. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	430 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	431 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	432 info = j - 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	433 call arscnd (t1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	434 tnaitr = tnaitr + (t1 - t0)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	435 ido = 99
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	436 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	437 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	438 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	439 40 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	440 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	441 c %---------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	442 c \| STEP 2: v_{j} = r_{j-1}/rnorm and p_{j} = p_{j}/rnorm \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	443 c \| Note that p_{j} = B*r_{j-1}. In order to avoid overflow \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	444 c \| when reciprocating a small RNORM, test against lower \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	445 c \| machine bound. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	446 c %---------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	447 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	448 call scopy (n, resid, 1, v(1,j), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	449 if (rnorm .ge. unfl) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	450 temp1 = one / rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	451 call sscal (n, temp1, v(1,j), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	452 call sscal (n, temp1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	453 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	454 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	455 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	456 c \| To scale both v_{j} and p_{j} carefully \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	457 c \| use LAPACK routine SLASCL \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	458 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	459 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	460 call slascl ('General', i, i, rnorm, one, n, 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	461 & v(1,j), n, infol)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	462 call slascl ('General', i, i, rnorm, one, n, 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	463 & workd(ipj), n, infol)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	464 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	465 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	466 c %------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	467 c \| STEP 3: r_{j} = OPv_{j}; Note that p_{j} = Bv_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	468 c \| Note that this is not quite yet r_{j}. See STEP 4 \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	469 c %------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	470 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	471 step3 = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	472 nopx = nopx + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	473 call arscnd (t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	474 call scopy (n, v(1,j), 1, workd(ivj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	475 ipntr(1) = ivj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	476 ipntr(2) = irj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	477 ipntr(3) = ipj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	478 ido = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	479 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	480 c %-----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	481 c \| Exit in order to compute OP*v_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	482 c %-----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	483 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	484 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	485 50 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	486 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	487 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	488 c \| Back from reverse communication; \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	489 c \| WORKD(IRJ:IRJ+N-1) := OP*v_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	490 c \| if step3 = .true. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	491 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	492 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	493 call arscnd (t3)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	494 tmvopx = tmvopx + (t3 - t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	495
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	496 step3 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	497 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	498 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	499 c \| Put another copy of OP*v_{j} into RESID. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	500 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	501 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	502 call scopy (n, workd(irj), 1, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	503 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	504 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	505 c \| STEP 4: Finish extending the Arnoldi \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	506 c \| factorization to length j. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	507 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	508 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	509 call arscnd (t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	510 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	511 nbx = nbx + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	512 step4 = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	513 ipntr(1) = irj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	514 ipntr(2) = ipj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	515 ido = 2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	516 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	517 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	518 c \| Exit in order to compute BOPv_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	519 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	520 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	521 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	522 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	523 call scopy (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	524 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	525 60 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	526 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	527 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	528 c \| Back from reverse communication; \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	529 c \| WORKD(IPJ:IPJ+N-1) := BOPv_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	530 c \| if step4 = .true. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	531 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	532 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	533 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	534 call arscnd (t3)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	535 tmvbx = tmvbx + (t3 - t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	536 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	537 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	538 step4 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	539 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	540 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	541 c \| The following is needed for STEP 5. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	542 c \| Compute the B-norm of OP*v_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	543 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	544 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	545 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	546 wnorm = sdot (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	547 wnorm = sqrt(abs(wnorm))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	548 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	549 wnorm = snrm2(n, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	550 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	551 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	552 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	553 c \| Compute the j-th residual corresponding \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	554 c \| to the j step factorization. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	555 c \| Use Classical Gram Schmidt and compute: \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	556 c \| w_{j} <- V_{j}^T * B * OP * v_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	557 c \| r_{j} <- OPv_{j} - V_{j} w_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	558 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	559 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	560 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	561 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	562 c \| Compute the j Fourier coefficients w_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	563 c \| WORKD(IPJ:IPJ+N-1) contains BOPv_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	564 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	565 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	566 call sgemv ('T', n, j, one, v, ldv, workd(ipj), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	567 & zero, h(1,j), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	568 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	569 c %--------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	570 c \| Orthogonalize r_{j} against V_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	571 c \| RESID contains OP*v_{j}. See STEP 3. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	572 c %--------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	573 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	574 call sgemv ('N', n, j, -one, v, ldv, h(1,j), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	575 & one, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	576 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	577 if (j .gt. 1) h(j,j-1) = betaj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	578 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	579 call arscnd (t4)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	580 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	581 orth1 = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	582 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	583 call arscnd (t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	584 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	585 nbx = nbx + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	586 call scopy (n, resid, 1, workd(irj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	587 ipntr(1) = irj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	588 ipntr(2) = ipj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	589 ido = 2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	590 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	591 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	592 c \| Exit in order to compute B*r_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	593 c %----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	594 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	595 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	596 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	597 call scopy (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	598 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	599 70 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	600 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	601 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	602 c \| Back from reverse communication if ORTH1 = .true. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	603 c \| WORKD(IPJ:IPJ+N-1) := B*r_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	604 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	605 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	606 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	607 call arscnd (t3)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	608 tmvbx = tmvbx + (t3 - t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	609 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	610 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	611 orth1 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	612 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	613 c %------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	614 c \| Compute the B-norm of r_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	615 c %------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	616 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	617 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	618 rnorm = sdot (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	619 rnorm = sqrt(abs(rnorm))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	620 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	621 rnorm = snrm2(n, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	622 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	623 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	624 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	625 c \| STEP 5: Re-orthogonalization / Iterative refinement phase \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	626 c \| Maximum NITER_ITREF tries. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	627 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	628 c \| s = V_{j}^T * B * r_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	629 c \| r_{j} = r_{j} - V_{j}*s \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	630 c \| alphaj = alphaj + s_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	631 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	632 c \| The stopping criteria used for iterative refinement is \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	633 c \| discussed in Parlett's book SEP, page 107 and in Gragg & \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	634 c \| Reichel ACM TOMS paper; Algorithm 686, Dec. 1990. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	635 c \| Determine if we need to correct the residual. The goal is \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	636 c \| to enforce \|\|v(:,1:j)^T * r_{j}\|\| .le. eps * \|\| r_{j} \|\| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	637 c \| The following test determines whether the sine of the \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	638 c \| angle between OP*x and the computed residual is less \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	639 c \| than or equal to 0.717. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	640 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	641 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	642 if (rnorm .gt. 0.717*wnorm) go to 100
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	643 iter = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	644 nrorth = nrorth + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	645 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	646 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	647 c \| Enter the Iterative refinement phase. If further \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	648 c \| refinement is necessary, loop back here. The loop \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	649 c \| variable is ITER. Perform a step of Classical \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	650 c \| Gram-Schmidt using all the Arnoldi vectors V_{j} \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	651 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	652 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	653 80 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	654 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	655 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	656 xtemp(1) = wnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	657 xtemp(2) = rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	658 call svout (logfil, 2, xtemp, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	659 & '_naitr: re-orthonalization; wnorm and rnorm are')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	660 call svout (logfil, j, h(1,j), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	661 & '_naitr: j-th column of H')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	662 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	663 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	664 c %----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	665 c \| Compute V_{j}^T * B * r_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	666 c \| WORKD(IRJ:IRJ+J-1) = v(:,1:J)'*WORKD(IPJ:IPJ+N-1). \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	667 c %----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	668 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	669 call sgemv ('T', n, j, one, v, ldv, workd(ipj), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	670 & zero, workd(irj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	671 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	672 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	673 c \| Compute the correction to the residual: \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	674 c \| r_{j} = r_{j} - V_{j} * WORKD(IRJ:IRJ+J-1). \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	675 c \| The correction to H is v(:,1:J)*H(1:J,1:J) \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	676 c \| + v(:,1:J)WORKD(IRJ:IRJ+J-1)e'_j. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	677 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	678 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	679 call sgemv ('N', n, j, -one, v, ldv, workd(irj), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	680 & one, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	681 call saxpy (j, one, workd(irj), 1, h(1,j), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	682 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	683 orth2 = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	684 call arscnd (t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	685 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	686 nbx = nbx + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	687 call scopy (n, resid, 1, workd(irj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	688 ipntr(1) = irj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	689 ipntr(2) = ipj
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	690 ido = 2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	691 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	692 c %-----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	693 c \| Exit in order to compute B*r_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	694 c \| r_{j} is the corrected residual. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	695 c %-----------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	696 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	697 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	698 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	699 call scopy (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	700 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	701 90 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	702 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	703 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	704 c \| Back from reverse communication if ORTH2 = .true. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	705 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	706 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	707 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	708 call arscnd (t3)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	709 tmvbx = tmvbx + (t3 - t2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	710 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	711 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	712 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	713 c \| Compute the B-norm of the corrected residual r_{j}. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	714 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	715 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	716 if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	717 rnorm1 = sdot (n, resid, 1, workd(ipj), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	718 rnorm1 = sqrt(abs(rnorm1))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	719 else if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	720 rnorm1 = snrm2(n, resid, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	721 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	722 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	723 if (msglvl .gt. 0 .and. iter .gt. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	724 call ivout (logfil, 1, j, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	725 & '_naitr: Iterative refinement for Arnoldi residual')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	726 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	727 xtemp(1) = rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	728 xtemp(2) = rnorm1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	729 call svout (logfil, 2, xtemp, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	730 & '_naitr: iterative refinement ; rnorm and rnorm1 are')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	731 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	732 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	733 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	734 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	735 c \| Determine if we need to perform another \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	736 c \| step of re-orthogonalization. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	737 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	738 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	739 if (rnorm1 .gt. 0.717*rnorm) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	740 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	741 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	742 c \| No need for further refinement. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	743 c \| The cosine of the angle between the \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	744 c \| corrected residual vector and the old \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	745 c \| residual vector is greater than 0.717 \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	746 c \| In other words the corrected residual \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	747 c \| and the old residual vector share an \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	748 c \| angle of less than arcCOS(0.717) \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	749 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	750 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	751 rnorm = rnorm1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	752 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	753 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	754 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	755 c %-------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	756 c \| Another step of iterative refinement step \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	757 c \| is required. NITREF is used by stat.h \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	758 c %-------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	759 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	760 nitref = nitref + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	761 rnorm = rnorm1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	762 iter = iter + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	763 if (iter .le. 1) go to 80
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	764 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	765 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	766 c \| Otherwise RESID is numerically in the span of V \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	767 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	768 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	769 do 95 jj = 1, n
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	770 resid(jj) = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	771 95 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	772 rnorm = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	773 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	774 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	775 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	776 c \| Branch here directly if iterative refinement \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	777 c \| wasn't necessary or after at most NITER_REF \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	778 c \| steps of iterative refinement. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	779 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	780 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	781 100 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	782 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	783 rstart = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	784 orth2 = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	785 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	786 call arscnd (t5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	787 titref = titref + (t5 - t4)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	788 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	789 c %------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	790 c \| STEP 6: Update j = j+1; Continue \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	791 c %------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	792 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	793 j = j + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	794 if (j .gt. k+np) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	795 call arscnd (t1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	796 tnaitr = tnaitr + (t1 - t0)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	797 ido = 99
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	798 do 110 i = max(1,k), k+np-1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	799 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	800 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	801 c \| Check for splitting and deflation. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	802 c \| Use a standard test as in the QR algorithm \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	803 c \| REFERENCE: LAPACK subroutine slahqr \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	804 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	805 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	806 tst1 = abs( h( i, i ) ) + abs( h( i+1, i+1 ) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	807 if( tst1.eq.zero )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	808 & tst1 = slanhs( '1', k+np, h, ldh, workd(n+1) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	809 if( abs( h( i+1,i ) ).le.max( ulp*tst1, smlnum ) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	810 & h(i+1,i) = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	811 110 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	812 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	813 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	814 call smout (logfil, k+np, k+np, h, ldh, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	815 & '_naitr: Final upper Hessenberg matrix H of order K+NP')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	816 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	817 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	818 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	819 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	820 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	821 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	822 c \| Loop back to extend the factorization by another step. \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	823 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	824 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	825 go to 1000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	826 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	827 c %---------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	828 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	829 c \| E N D O F M A I N I T E R A T I O N L O O P \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	830 c \| \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	831 c %---------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	832 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	833 9000 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	834 return
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	835 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	836 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	837 c \| End of snaitr \|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	838 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	839 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1 John W. Eaton <jwe@octave.org> parents: diff changeset	840 end

Mercurial > octave-nkf

annotate libcruft/arpack/src/snaitr.f @ 12274:9f5d2ef078e8 release-3-4-x