version 1.2, 2010/08/07 13:22:37
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version 1.10, 2012/12/14 12:30:30
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*> \brief \b ZLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) 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_C + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zla_syrcond_c.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_c.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_c.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_C( UPLO, N, A, LDA, AF, |
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* LDAF, IPIV, C, CAPPLY, |
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* INFO, WORK, RWORK ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* LOGICAL CAPPLY |
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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( * ) |
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* DOUBLE PRECISION C( * ), 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_C Computes the infinity norm condition number of |
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*> op(A) * inv(diag(C)) where C is a DOUBLE PRECISION 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] C |
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*> \verbatim |
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*> C is DOUBLE PRECISION array, dimension (N) |
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*> The vector C in the formula op(A) * inv(diag(C)). |
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*> \endverbatim |
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*> |
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*> \param[in] CAPPLY |
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*> \verbatim |
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*> CAPPLY is LOGICAL |
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*> If .TRUE. then access the vector C in the formula above. |
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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 September 2012 |
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* |
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*> \ingroup complex16SYcomputational |
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* |
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* ===================================================================== |
DOUBLE PRECISION FUNCTION ZLA_SYRCOND_C( UPLO, N, A, LDA, AF, |
DOUBLE PRECISION FUNCTION ZLA_SYRCOND_C( UPLO, N, A, LDA, AF, |
$ LDAF, IPIV, C, CAPPLY, |
$ LDAF, IPIV, C, CAPPLY, |
$ INFO, WORK, RWORK ) |
$ INFO, WORK, RWORK ) |
* |
* |
* -- LAPACK routine (version 3.2.1) -- |
* -- LAPACK computational routine (version 3.4.2) -- |
* -- 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 -- |
* September 2012 |
* |
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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 |
LOGICAL CAPPLY |
LOGICAL CAPPLY |
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DOUBLE PRECISION C( * ), RWORK( * ) |
DOUBLE PRECISION C( * ), RWORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZLA_SYRCOND_C Computes the infinity norm condition number of |
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* op(A) * inv(diag(C)) where C is a DOUBLE PRECISION 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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* C (input) DOUBLE PRECISION array, dimension (N) |
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* The vector C in the formula op(A) * inv(diag(C)). |
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* |
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* CAPPLY (input) LOGICAL |
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* If .TRUE. then access the vector C in the formula above. |
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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_C = 0.0D+0 |
ZLA_SYRCOND_C = 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_C', -INFO ) |
CALL XERBLA( 'ZLA_SYRCOND_C', -INFO ) |
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END IF |
END IF |
ELSE |
ELSE |
* |
* |
* Multiply by inv(C'). |
* Multiply by inv(C**T). |
* |
* |
IF ( CAPPLY ) THEN |
IF ( CAPPLY ) THEN |
DO I = 1, N |
DO I = 1, N |