diff libcruft/lapack/cptsv.f @ 7789:82be108cc558

First attempt at single precision tyeps * * * corrections to qrupdate single precision routines * * * prefer demotion to single over promotion to double * * * Add single precision support to log2 function * * * Trivial PROJECT file update * * * Cache optimized hermitian/transpose methods * * * Add tests for tranpose/hermitian and ChangeLog entry for new transpose code
author David Bateman <dbateman@free.fr>
date Sun, 27 Apr 2008 22:34:17 +0200
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/libcruft/lapack/cptsv.f	Sun Apr 27 22:34:17 2008 +0200
@@ -0,0 +1,100 @@
+      SUBROUTINE CPTSV( N, NRHS, D, E, B, LDB, INFO )
+*
+*  -- LAPACK routine (version 3.1) --
+*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
+*     November 2006
+*
+*     .. Scalar Arguments ..
+      INTEGER            INFO, LDB, N, NRHS
+*     ..
+*     .. Array Arguments ..
+      REAL               D( * )
+      COMPLEX            B( LDB, * ), E( * )
+*     ..
+*
+*  Purpose
+*  =======
+*
+*  CPTSV computes the solution to a complex system of linear equations
+*  A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal
+*  matrix, and X and B are N-by-NRHS matrices.
+*
+*  A is factored as A = L*D*L**H, and the factored form of A is then
+*  used to solve the system of equations.
+*
+*  Arguments
+*  =========
+*
+*  N       (input) INTEGER
+*          The order of the matrix A.  N >= 0.
+*
+*  NRHS    (input) INTEGER
+*          The number of right hand sides, i.e., the number of columns
+*          of the matrix B.  NRHS >= 0.
+*
+*  D       (input/output) REAL array, dimension (N)
+*          On entry, the n diagonal elements of the tridiagonal matrix
+*          A.  On exit, the n diagonal elements of the diagonal matrix
+*          D from the factorization A = L*D*L**H.
+*
+*  E       (input/output) COMPLEX array, dimension (N-1)
+*          On entry, the (n-1) subdiagonal elements of the tridiagonal
+*          matrix A.  On exit, the (n-1) subdiagonal elements of the
+*          unit bidiagonal factor L from the L*D*L**H factorization of
+*          A.  E can also be regarded as the superdiagonal of the unit
+*          bidiagonal factor U from the U**H*D*U factorization of A.
+*
+*  B       (input/output) COMPLEX array, dimension (LDB,NRHS)
+*          On entry, the N-by-NRHS right hand side matrix B.
+*          On exit, if INFO = 0, the N-by-NRHS solution matrix X.
+*
+*  LDB     (input) INTEGER
+*          The leading dimension of the array B.  LDB >= max(1,N).
+*
+*  INFO    (output) INTEGER
+*          = 0:  successful exit
+*          < 0:  if INFO = -i, the i-th argument had an illegal value
+*          > 0:  if INFO = i, the leading minor of order i is not
+*                positive definite, and the solution has not been
+*                computed.  The factorization has not been completed
+*                unless i = N.
+*
+*  =====================================================================
+*
+*     .. External Subroutines ..
+      EXTERNAL           CPTTRF, CPTTRS, XERBLA
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          MAX
+*     ..
+*     .. Executable Statements ..
+*
+*     Test the input parameters.
+*
+      INFO = 0
+      IF( N.LT.0 ) THEN
+         INFO = -1
+      ELSE IF( NRHS.LT.0 ) THEN
+         INFO = -2
+      ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+         INFO = -6
+      END IF
+      IF( INFO.NE.0 ) THEN
+         CALL XERBLA( 'CPTSV ', -INFO )
+         RETURN
+      END IF
+*
+*     Compute the L*D*L' (or U'*D*U) factorization of A.
+*
+      CALL CPTTRF( N, D, E, INFO )
+      IF( INFO.EQ.0 ) THEN
+*
+*        Solve the system A*X = B, overwriting B with X.
+*
+         CALL CPTTRS( 'Lower', N, NRHS, D, E, B, LDB, INFO )
+      END IF
+      RETURN
+*
+*     End of CPTSV
+*
+      END