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

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\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	2 c
9f5d2ef078e8 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\Name: cnaitr
9f5d2ef078e8 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
9f5d2ef078e8 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\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	6 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	7 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	8 c
9f5d2ef078e8 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 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	10 c
9f5d2ef078e8 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 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	12 c
9f5d2ef078e8 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 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	14 c
9f5d2ef078e8 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 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	16 c
9f5d2ef078e8 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 where OP and B are as in cnaupd. 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	18 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	19 c
9f5d2ef078e8 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\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	21 c call cnaitr
9f5d2ef078e8 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 ( 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	23 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	24 c
9f5d2ef078e8 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\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	26 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	27 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	28 c -------------------------------------------------------------
9f5d2ef078e8 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 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	30 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	31 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	32 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	33 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	34 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	35 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	36 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	37 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	38 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	39 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	40 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	41 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	42 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	43 c -------------------------------------------------------------
9f5d2ef078e8 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 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	45 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	46 c recomputed 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	47 c
9f5d2ef078e8 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 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	49 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	50 c semi-inner product for the operator OP. See cnaupd.
9f5d2ef078e8 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 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	52 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	53 c
9f5d2ef078e8 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 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	55 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	56 c
9f5d2ef078e8 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 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	58 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	59 c
9f5d2ef078e8 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 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	61 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	62 c
9f5d2ef078e8 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 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	64 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	65 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	66 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	67 c
9f5d2ef078e8 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 RESID Complex 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	69 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	70 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	71 c
9f5d2ef078e8 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 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	73 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	74 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	75 c
9f5d2ef078e8 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 V Complex 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	77 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	78 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	79 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	80 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	81 c
9f5d2ef078e8 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 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	83 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	84 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	85 c
9f5d2ef078e8 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 H Complex (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	87 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	88 c
9f5d2ef078e8 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 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	90 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	91 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	92 c
9f5d2ef078e8 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 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	94 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	95 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	96 c -------------------------------------------------------------
9f5d2ef078e8 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 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	98 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	99 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	100 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	101 c -------------------------------------------------------------
9f5d2ef078e8 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 WORKD Complex 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	104 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	105 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	106 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	107 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	108 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	109 c
9f5d2ef078e8 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 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	111 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	112 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	113 c
9f5d2ef078e8 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\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	115 c
9f5d2ef078e8 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\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	119 c
9f5d2ef078e8 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\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	121 c xxxxxx Complex
9f5d2ef078e8 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
9f5d2ef078e8 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\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	124 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	125 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	126 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	127 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	128 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	129 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	130 c
9f5d2ef078e8 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\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	132 c cgetv0 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	133 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	134 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	135 c cmout 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	136 c cvout 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	137 c clanhs 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	138 c clascl 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	139 c slabad LAPACK routine for defining the underflow and 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	140 c limits.
9f5d2ef078e8 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 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	142 c slapy2 LAPACK routine to compute sqrt(x2+y2) 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	143 c cgemv 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	144 c caxpy 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	145 c ccopy 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 cdotc 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 cscal 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	148 c csscal Level 1 BLAS that scales a complex vector by a real 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	149 c scnrm2 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	150 c
9f5d2ef078e8 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\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	152 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	153 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	154 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	155 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	156 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	157 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	158 c
9f5d2ef078e8 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\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	160 c FILE: naitr.F SID: 2.3 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	161 c
9f5d2ef078e8 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\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	163 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	164 c
9f5d2ef078e8 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 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	166 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	167 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	168 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	169 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	170 c
9f5d2ef078e8 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 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	172 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	173 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	174 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	175 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	176 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	177 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	178 c 3) r_{j} = OP*v_{j} where OP is defined as in cnaupd
9f5d2ef078e8 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 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	180 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	181 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	182 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	183 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	184 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	185 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	186 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	187 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	188 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	189 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	190 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	191 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	192 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	193 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	194 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	195 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	196 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	197 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	198 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	199 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	200 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	201 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	202 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	203 c
9f5d2ef078e8 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\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	205 c
9f5d2ef078e8 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 subroutine cnaitr
9f5d2ef078e8 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 & (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	210 & 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	211 c
9f5d2ef078e8 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 \| 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	214 c %----------------------------------------------------%
9f5d2ef078e8 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 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	217 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	218 c
9f5d2ef078e8 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 \| 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	221 c %------------------%
9f5d2ef078e8 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 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	224 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	225 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	226 & 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	227 c
9f5d2ef078e8 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 \| 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	230 c %-----------------%
9f5d2ef078e8 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 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	233 Complex
9f5d2ef078e8 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 & 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	235 c
9f5d2ef078e8 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 \| 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	238 c %------------%
9f5d2ef078e8 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 Complex
9f5d2ef078e8 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 & 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	242 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	243 & rone, rzero
9f5d2ef078e8 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 parameter (one = (1.0E+0, 0.0E+0), zero = (0.0E+0, 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	245 & rone = 1.0E+0, rzero = 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	246 c
9f5d2ef078e8 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 \| Local Arrays \|
9f5d2ef078e8 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 c %--------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 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	252 & rtemp(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	253 c
9f5d2ef078e8 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 c %---------------%
9f5d2ef078e8 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 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	256 c %---------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 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	259 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	260 & 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	261 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	262 & ovfl, smlnum, tst1, ulp, unfl, 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	263 & temp1, rnorm1, 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	264 Complex
9f5d2ef078e8 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 & cnorm
9f5d2ef078e8 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 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	268 & 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	269 & 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	270 c
9f5d2ef078e8 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 c %----------------------%
9f5d2ef078e8 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 \| 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	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
9f5d2ef078e8 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 external caxpy, ccopy, cscal, csscal, cgemv, cgetv0,
9f5d2ef078e8 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 & slabad, cvout, cmout, 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	277 c
9f5d2ef078e8 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 c %--------------------%
9f5d2ef078e8 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 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	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 Complex
9f5d2ef078e8 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 & cdotc
9f5d2ef078e8 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 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	285 & slamch, scnrm2, clanhs, slapy2
9f5d2ef078e8 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 external cdotc, scnrm2, clanhs, slamch, slapy2
9f5d2ef078e8 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 %---------------------%
9f5d2ef078e8 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 \| 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	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 c
9f5d2ef078e8 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 intrinsic aimag, real, max, 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	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 %-----------------%
9f5d2ef078e8 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 \| 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	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 c
9f5d2ef078e8 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 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	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 %-----------------------%
9f5d2ef078e8 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 \| 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	302 c %-----------------------%
9f5d2ef078e8 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
9f5d2ef078e8 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 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	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 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	308 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	309 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	310 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	311 c \| REFERENCE: LAPACK subroutine clahqr \|
9f5d2ef078e8 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 c %-----------------------------------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 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	315 ovfl = real(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	316 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	317 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	318 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	319 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	320 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	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 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	323 c
9f5d2ef078e8 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 \| 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	326 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	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 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	330 msglvl = mcaitr
9f5d2ef078e8 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 c
9f5d2ef078e8 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 c %------------------------------%
9f5d2ef078e8 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 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	334 c %------------------------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 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	337 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	338 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	339 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	340 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	341 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	342 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	343 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	344 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	345 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	346 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	347 c
9f5d2ef078e8 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 %-------------------------------------------------%
9f5d2ef078e8 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 \| 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	350 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	351 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	352 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	353 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	354 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	355 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	356 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	357 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	358 c \| cgetv0. \|
9f5d2ef078e8 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 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	362 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	363 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	364 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	365 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	366 c
9f5d2ef078e8 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 \| 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	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 c
9f5d2ef078e8 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 c %--------------------------------------------------------------%
9f5d2ef078e8 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 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	374 c \| \|
9f5d2ef078e8 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 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	376 c %--------------------------------------------------------------%
9f5d2ef078e8 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
9f5d2ef078e8 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 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	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 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	381 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	382 & '_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	383 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	384 & '_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	385 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	386 c
9f5d2ef078e8 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 c %---------------------------------------------------%
9f5d2ef078e8 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 \| 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	389 c \| vector is zero. Equivalent to determine 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	390 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	391 c %---------------------------------------------------%
9f5d2ef078e8 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
9f5d2ef078e8 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 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	394 if (rnorm .gt. rzero) 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	395 c
9f5d2ef078e8 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 c %---------------------------------------------------%
9f5d2ef078e8 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 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	398 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	399 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	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
9f5d2ef078e8 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 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	403 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	404 & '_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	405 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	406 c
9f5d2ef078e8 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 c %---------------------------------------------%
9f5d2ef078e8 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 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	409 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	410 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	411 c %---------------------------------------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 betaj = rzero
9f5d2ef078e8 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 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	415 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	416 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	417 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	418 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	419 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	420 c
9f5d2ef078e8 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 c %--------------------------------------%
9f5d2ef078e8 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 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	423 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	424 c %--------------------------------------%
9f5d2ef078e8 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 call cgetv0 (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	427 & 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	428 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	429 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	430 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	431 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	432 c
9f5d2ef078e8 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 c %------------------------------------------------%
9f5d2ef078e8 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 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	435 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	436 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	437 c %------------------------------------------------%
9f5d2ef078e8 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 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	440 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	441 tcaitr = tcaitr + (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	442 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	443 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	444 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	445 c
9f5d2ef078e8 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 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	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 c %---------------------------------------------------------%
9f5d2ef078e8 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 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	450 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	451 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	452 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	453 c %---------------------------------------------------------%
9f5d2ef078e8 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 call ccopy (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	456 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	457 temp1 = rone / 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	458 call csscal (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	459 call csscal (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	460 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	461 c
9f5d2ef078e8 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 c %-----------------------------------------%
9f5d2ef078e8 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 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	464 c \| use LAPACK routine clascl \|
9f5d2ef078e8 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 call clascl ('General', i, i, rnorm, rone,
9f5d2ef078e8 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 & n, 1, 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	469 call clascl ('General', i, i, rnorm, rone,
9f5d2ef078e8 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 & n, 1, 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	471 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	472 c
9f5d2ef078e8 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 c %------------------------------------------------------%
9f5d2ef078e8 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 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	475 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	476 c %------------------------------------------------------%
9f5d2ef078e8 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 c
9f5d2ef078e8 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 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	479 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	480 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	481 call ccopy (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	482 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	483 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	484 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	485 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	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 \| 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	489 c %-----------------------------------%
9f5d2ef078e8 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
9f5d2ef078e8 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 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	492 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	493 c
9f5d2ef078e8 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 c %----------------------------------%
9f5d2ef078e8 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 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	496 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	497 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	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
9f5d2ef078e8 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 call arscnd (t3)

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9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1