--- rpl/lapack/lapack/zla_porcond_x.f 2010/08/07 13:21:09 1.1
+++ rpl/lapack/lapack/zla_porcond_x.f 2023/08/07 08:39:28 1.18
@@ -1,17 +1,132 @@
+*> \brief \b ZLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLA_PORCOND_X + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION ZLA_PORCOND_X( UPLO, N, A, LDA, AF,
+* LDAF, X, INFO, WORK,
+* RWORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER N, LDA, LDAF, INFO
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), AF( LDAF, * ), WORK( * ), X( * )
+* DOUBLE PRECISION RWORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZLA_PORCOND_X Computes the infinity norm condition number of
+*> op(A) * diag(X) where X is a COMPLEX*16 vector.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of linear equations, i.e., the order of the
+*> matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> On entry, the N-by-N matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] AF
+*> \verbatim
+*> AF is COMPLEX*16 array, dimension (LDAF,N)
+*> The triangular factor U or L from the Cholesky factorization
+*> A = U**H*U or A = L*L**H, as computed by ZPOTRF.
+*> \endverbatim
+*>
+*> \param[in] LDAF
+*> \verbatim
+*> LDAF is INTEGER
+*> The leading dimension of the array AF. LDAF >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is COMPLEX*16 array, dimension (N)
+*> The vector X in the formula op(A) * diag(X).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: Successful exit.
+*> i > 0: The ith argument is invalid.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is COMPLEX*16 array, dimension (2*N).
+*> Workspace.
+*> \endverbatim
+*>
+*> \param[out] RWORK
+*> \verbatim
+*> RWORK is DOUBLE PRECISION array, dimension (N).
+*> Workspace.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \ingroup complex16POcomputational
+*
+* =====================================================================
DOUBLE PRECISION FUNCTION ZLA_PORCOND_X( UPLO, N, A, LDA, AF,
$ LDAF, X, INFO, WORK,
$ RWORK )
*
-* -- LAPACK routine (version 3.2.1) --
-* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and --
-* -- Jason Riedy of Univ. of California Berkeley. --
-* -- April 2009 --
+* -- LAPACK computational routine --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley and NAG Ltd. --
-*
- IMPLICIT NONE
-* ..
* .. Scalar Arguments ..
CHARACTER UPLO
INTEGER N, LDA, LDAF, INFO
@@ -21,55 +136,12 @@
DOUBLE PRECISION RWORK( * )
* ..
*
-* Purpose
-* =======
-*
-* ZLA_PORCOND_X Computes the infinity norm condition number of
-* op(A) * diag(X) where X is a COMPLEX*16 vector.
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The number of linear equations, i.e., the order of the
-* matrix A. N >= 0.
-*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the N-by-N matrix A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* AF (input) COMPLEX*16 array, dimension (LDAF,N)
-* The triangular factor U or L from the Cholesky factorization
-* A = U**T*U or A = L*L**T, as computed by ZPOTRF.
-*
-* LDAF (input) INTEGER
-* The leading dimension of the array AF. LDAF >= max(1,N).
-*
-* X (input) COMPLEX*16 array, dimension (N)
-* The vector X in the formula op(A) * diag(X).
-*
-* INFO (output) INTEGER
-* = 0: Successful exit.
-* i > 0: The ith argument is invalid.
-*
-* WORK (input) COMPLEX*16 array, dimension (2*N).
-* Workspace.
-*
-* RWORK (input) DOUBLE PRECISION array, dimension (N).
-* Workspace.
-*
* =====================================================================
*
* .. Local Scalars ..
INTEGER KASE, I, J
DOUBLE PRECISION AINVNM, ANORM, TMP
- LOGICAL UP
+ LOGICAL UP, UPPER
COMPLEX*16 ZDUM
* ..
* .. Local Arrays ..
@@ -96,8 +168,15 @@
ZLA_PORCOND_X = 0.0D+0
*
INFO = 0
- IF( N.LT.0 ) THEN
+ UPPER = LSAME( UPLO, 'U' )
+ IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
+ INFO = -1
+ ELSE IF ( N.LT.0 ) THEN
INFO = -2
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -4
+ ELSE IF( LDAF.LT.MAX( 1, N ) ) THEN
+ INFO = -6
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'ZLA_PORCOND_X', -INFO )
@@ -175,7 +254,7 @@
END DO
ELSE
*
-* Multiply by inv(X').
+* Multiply by inv(X**H).
*
DO I = 1, N
WORK( I ) = WORK( I ) / X( I )
@@ -205,4 +284,6 @@
*
RETURN
*
+* End of ZLA_PORCOND_X
+*
END