version 1.2, 2010/08/07 13:22:37
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version 1.14, 2017/06/17 10:54:18
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*> \brief \b ZLA_SYRCOND_X computes the infinity norm condition number of op(A)*diag(x) for symmetric indefinite matrices. |
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* |
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* =========== DOCUMENTATION =========== |
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* |
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* Online html documentation available at |
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* http://www.netlib.org/lapack/explore-html/ |
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* |
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*> \htmlonly |
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*> Download ZLA_SYRCOND_X + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zla_syrcond_x.f"> |
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*> [TGZ]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zla_syrcond_x.f"> |
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*> [ZIP]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zla_syrcond_x.f"> |
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*> [TXT]</a> |
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*> \endhtmlonly |
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* |
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* Definition: |
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* =========== |
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* |
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* DOUBLE PRECISION FUNCTION ZLA_SYRCOND_X( UPLO, N, A, LDA, AF, |
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* LDAF, IPIV, X, INFO, |
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* WORK, RWORK ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* INTEGER N, LDA, LDAF, INFO |
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* .. |
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* .. Array Arguments .. |
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* INTEGER IPIV( * ) |
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* COMPLEX*16 A( LDA, * ), AF( LDAF, * ), WORK( * ), X( * ) |
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* DOUBLE PRECISION RWORK( * ) |
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* .. |
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* |
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* |
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*> \par Purpose: |
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* ============= |
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*> |
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*> \verbatim |
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*> |
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*> ZLA_SYRCOND_X Computes the infinity norm condition number of |
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*> op(A) * diag(X) where X is a COMPLEX*16 vector. |
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*> \endverbatim |
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* |
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* Arguments: |
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* ========== |
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* |
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*> \param[in] UPLO |
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*> \verbatim |
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*> UPLO is CHARACTER*1 |
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*> = 'U': Upper triangle of A is stored; |
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*> = 'L': Lower triangle of A is stored. |
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*> \endverbatim |
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*> |
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*> \param[in] N |
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*> \verbatim |
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*> N is INTEGER |
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*> The number of linear equations, i.e., the order of the |
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*> matrix A. N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension (LDA,N) |
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*> On entry, the N-by-N matrix A. |
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*> \endverbatim |
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*> |
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*> \param[in] LDA |
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*> \verbatim |
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*> LDA is INTEGER |
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*> The leading dimension of the array A. LDA >= max(1,N). |
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*> \endverbatim |
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*> |
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*> \param[in] AF |
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*> \verbatim |
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*> AF is COMPLEX*16 array, dimension (LDAF,N) |
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*> The block diagonal matrix D and the multipliers used to |
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*> obtain the factor U or L as computed by ZSYTRF. |
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*> \endverbatim |
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*> |
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*> \param[in] LDAF |
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*> \verbatim |
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*> LDAF is INTEGER |
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*> The leading dimension of the array AF. LDAF >= max(1,N). |
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*> \endverbatim |
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*> |
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*> \param[in] IPIV |
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*> \verbatim |
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*> IPIV is INTEGER array, dimension (N) |
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*> Details of the interchanges and the block structure of D |
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*> as determined by ZSYTRF. |
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*> \endverbatim |
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*> |
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*> \param[in] X |
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*> \verbatim |
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*> X is COMPLEX*16 array, dimension (N) |
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*> The vector X in the formula op(A) * diag(X). |
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*> \endverbatim |
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*> |
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*> \param[out] INFO |
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*> \verbatim |
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*> INFO is INTEGER |
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*> = 0: Successful exit. |
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*> i > 0: The ith argument is invalid. |
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*> \endverbatim |
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*> |
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*> \param[in] WORK |
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*> \verbatim |
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*> WORK is COMPLEX*16 array, dimension (2*N). |
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*> Workspace. |
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*> \endverbatim |
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*> |
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*> \param[in] RWORK |
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*> \verbatim |
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*> RWORK is DOUBLE PRECISION array, dimension (N). |
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*> Workspace. |
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*> \endverbatim |
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* |
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* Authors: |
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* ======== |
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* |
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*> \author Univ. of Tennessee |
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*> \author Univ. of California Berkeley |
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*> \author Univ. of Colorado Denver |
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*> \author NAG Ltd. |
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* |
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*> \date December 2016 |
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* |
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*> \ingroup complex16SYcomputational |
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* |
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* ===================================================================== |
DOUBLE PRECISION FUNCTION ZLA_SYRCOND_X( UPLO, N, A, LDA, AF, |
DOUBLE PRECISION FUNCTION ZLA_SYRCOND_X( UPLO, N, A, LDA, AF, |
$ LDAF, IPIV, X, INFO, |
$ LDAF, IPIV, X, INFO, |
$ WORK, RWORK ) |
$ WORK, RWORK ) |
* |
* |
* -- LAPACK routine (version 3.2.1) -- |
* -- LAPACK computational routine (version 3.7.0) -- |
* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Jason Riedy of Univ. of California Berkeley. -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- April 2009 -- |
* December 2016 |
* |
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* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
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* -- Univ. of California Berkeley and NAG Ltd. -- |
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* |
* |
IMPLICIT NONE |
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* .. |
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* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
INTEGER N, LDA, LDAF, INFO |
INTEGER N, LDA, LDAF, INFO |
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DOUBLE PRECISION RWORK( * ) |
DOUBLE PRECISION RWORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZLA_SYRCOND_X Computes the infinity norm condition number of |
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* op(A) * diag(X) where X is a COMPLEX*16 vector. |
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* |
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* Arguments |
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* ========= |
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* |
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* UPLO (input) CHARACTER*1 |
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* = 'U': Upper triangle of A is stored; |
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* = 'L': Lower triangle of A is stored. |
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* |
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* N (input) INTEGER |
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* The number of linear equations, i.e., the order of the |
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* matrix A. N >= 0. |
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* |
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* A (input) COMPLEX*16 array, dimension (LDA,N) |
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* On entry, the N-by-N matrix A. |
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* |
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* LDA (input) INTEGER |
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* The leading dimension of the array A. LDA >= max(1,N). |
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* |
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* AF (input) COMPLEX*16 array, dimension (LDAF,N) |
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* The block diagonal matrix D and the multipliers used to |
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* obtain the factor U or L as computed by ZSYTRF. |
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* |
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* LDAF (input) INTEGER |
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* The leading dimension of the array AF. LDAF >= max(1,N). |
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* |
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* IPIV (input) INTEGER array, dimension (N) |
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* Details of the interchanges and the block structure of D |
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* as determined by ZSYTRF. |
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* |
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* X (input) COMPLEX*16 array, dimension (N) |
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* The vector X in the formula op(A) * diag(X). |
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* |
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* INFO (output) INTEGER |
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* = 0: Successful exit. |
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* i > 0: The ith argument is invalid. |
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* |
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* WORK (input) COMPLEX*16 array, dimension (2*N). |
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* Workspace. |
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* |
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* RWORK (input) DOUBLE PRECISION array, dimension (N). |
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* Workspace. |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Local Scalars .. |
* .. Local Scalars .. |
INTEGER KASE |
INTEGER KASE |
DOUBLE PRECISION AINVNM, ANORM, TMP |
DOUBLE PRECISION AINVNM, ANORM, TMP |
INTEGER I, J |
INTEGER I, J |
LOGICAL UP |
LOGICAL UP, UPPER |
COMPLEX*16 ZDUM |
COMPLEX*16 ZDUM |
* .. |
* .. |
* .. Local Arrays .. |
* .. Local Arrays .. |
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ZLA_SYRCOND_X = 0.0D+0 |
ZLA_SYRCOND_X = 0.0D+0 |
* |
* |
INFO = 0 |
INFO = 0 |
IF( N.LT.0 ) THEN |
UPPER = LSAME( UPLO, 'U' ) |
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IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN |
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INFO = -1 |
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ELSE IF( N.LT.0 ) THEN |
INFO = -2 |
INFO = -2 |
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ELSE IF( LDA.LT.MAX( 1, N ) ) THEN |
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INFO = -4 |
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ELSE IF( LDAF.LT.MAX( 1, N ) ) THEN |
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INFO = -6 |
END IF |
END IF |
IF( INFO.NE.0 ) THEN |
IF( INFO.NE.0 ) THEN |
CALL XERBLA( 'ZLA_SYRCOND_X', -INFO ) |
CALL XERBLA( 'ZLA_SYRCOND_X', -INFO ) |
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END DO |
END DO |
ELSE |
ELSE |
* |
* |
* Multiply by inv(X'). |
* Multiply by inv(X**T). |
* |
* |
DO I = 1, N |
DO I = 1, N |
WORK( I ) = WORK( I ) / X( I ) |
WORK( I ) = WORK( I ) / X( I ) |