version 1.3, 2011/07/22 07:38:20
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version 1.17, 2023/08/07 08:39:39
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*> \brief \b ZSYTRI2 |
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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 ZSYTRI2 + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytri2.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/zsytri2.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/zsytri2.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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* SUBROUTINE ZSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* INTEGER INFO, LDA, LWORK, N |
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* .. |
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* .. Array Arguments .. |
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* INTEGER IPIV( * ) |
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* COMPLEX*16 A( LDA, * ), WORK( * ) |
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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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*> ZSYTRI2 computes the inverse of a COMPLEX*16 symmetric indefinite matrix |
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*> A using the factorization A = U*D*U**T or A = L*D*L**T computed by |
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*> ZSYTRF. ZSYTRI2 sets the LEADING DIMENSION of the workspace |
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*> before calling ZSYTRI2X that actually computes the inverse. |
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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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*> Specifies whether the details of the factorization are stored |
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*> as an upper or lower triangular matrix. |
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*> = 'U': Upper triangular, form is A = U*D*U**T; |
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*> = 'L': Lower triangular, form is A = L*D*L**T. |
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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 order of the matrix A. N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in,out] 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 block diagonal matrix D and the multipliers |
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*> used to obtain the factor U or L as computed by ZSYTRF. |
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*> |
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*> On exit, if INFO = 0, the (symmetric) inverse of the original |
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*> matrix. If UPLO = 'U', the upper triangular part of the |
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*> inverse is formed and the part of A below the diagonal is not |
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*> referenced; if UPLO = 'L' the lower triangular part of the |
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*> inverse is formed and the part of A above the diagonal is |
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*> not referenced. |
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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] 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[out] WORK |
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*> \verbatim |
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*> WORK is COMPLEX*16 array, dimension (N+NB+1)*(NB+3) |
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*> \endverbatim |
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*> |
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*> \param[in] LWORK |
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*> \verbatim |
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*> LWORK is INTEGER |
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*> The dimension of the array WORK. |
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*> WORK is size >= (N+NB+1)*(NB+3) |
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*> If LDWORK = -1, then a workspace query is assumed; the routine |
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*> calculates: |
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*> - the optimal size of the WORK array, returns |
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*> this value as the first entry of the WORK array, |
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*> - and no error message related to LDWORK is issued by XERBLA. |
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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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*> < 0: if INFO = -i, the i-th argument had an illegal value |
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*> > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its |
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*> inverse could not be computed. |
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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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*> \ingroup complex16SYcomputational |
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* |
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* ===================================================================== |
SUBROUTINE ZSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO ) |
SUBROUTINE ZSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO ) |
* |
* |
* -- LAPACK routine (version 3.3.1) -- |
* -- LAPACK computational routine -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- April 2011 -- |
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* |
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* -- Written by Julie Langou of the Univ. of TN -- |
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* |
* |
* @precisions normal z -> s d c |
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* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
INTEGER INFO, LDA, LWORK, N |
INTEGER INFO, LDA, LWORK, N |
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COMPLEX*16 A( LDA, * ), WORK( * ) |
COMPLEX*16 A( LDA, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZSYTRI2 computes the inverse of a COMPLEX*16 hermitian indefinite matrix |
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* A using the factorization A = U*D*U**T or A = L*D*L**T computed by |
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* ZSYTRF. ZSYTRI2 sets the LEADING DIMENSION of the workspace |
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* before calling ZSYTRI2X that actually computes the inverse. |
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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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* Specifies whether the details of the factorization are stored |
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* as an upper or lower triangular matrix. |
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* = 'U': Upper triangular, form is A = U*D*U**T; |
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* = 'L': Lower triangular, form is A = L*D*L**T. |
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* |
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* N (input) INTEGER |
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* The order of the matrix A. N >= 0. |
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* |
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* A (input/output) COMPLEX*16 array, dimension (LDA,N) |
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* On entry, the NB diagonal matrix D and the multipliers |
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* used to obtain the factor U or L as computed by ZSYTRF. |
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* |
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* On exit, if INFO = 0, the (symmetric) inverse of the original |
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* matrix. If UPLO = 'U', the upper triangular part of the |
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* inverse is formed and the part of A below the diagonal is not |
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* referenced; if UPLO = 'L' the lower triangular part of the |
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* inverse is formed and the part of A above the diagonal is |
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* not referenced. |
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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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* IPIV (input) INTEGER array, dimension (N) |
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* Details of the interchanges and the NB structure of D |
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* as determined by ZSYTRF. |
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* |
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* WORK (workspace) COMPLEX*16 array, dimension (N+NB+1)*(NB+3) |
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* |
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* LWORK (input) INTEGER |
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* The dimension of the array WORK. |
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* WORK is size >= (N+NB+1)*(NB+3) |
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* If LDWORK = -1, then a workspace query is assumed; the routine |
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* calculates: |
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* - the optimal size of the WORK array, returns |
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* this value as the first entry of the WORK array, |
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* - and no error message related to LDWORK is issued by XERBLA. |
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* |
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* INFO (output) INTEGER |
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* = 0: successful exit |
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* < 0: if INFO = -i, the i-th argument had an illegal value |
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* > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its |
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* inverse could not be computed. |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Local Scalars .. |
* .. Local Scalars .. |
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EXTERNAL LSAME, ILAENV |
EXTERNAL LSAME, ILAENV |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZSYTRI2X |
EXTERNAL ZSYTRI, ZSYTRI2X, XERBLA |
* .. |
* .. |
* .. Executable Statements .. |
* .. Executable Statements .. |
* |
* |
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UPPER = LSAME( UPLO, 'U' ) |
UPPER = LSAME( UPLO, 'U' ) |
LQUERY = ( LWORK.EQ.-1 ) |
LQUERY = ( LWORK.EQ.-1 ) |
* Get blocksize |
* Get blocksize |
NBMAX = ILAENV( 1, 'ZSYTRF', UPLO, N, -1, -1, -1 ) |
NBMAX = ILAENV( 1, 'ZSYTRI2', UPLO, N, -1, -1, -1 ) |
IF ( NBMAX .GE. N ) THEN |
IF ( NBMAX .GE. N ) THEN |
MINSIZE = N |
MINSIZE = N |
ELSE |
ELSE |
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END IF |
END IF |
IF( N.EQ.0 ) |
IF( N.EQ.0 ) |
$ RETURN |
$ RETURN |
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IF( NBMAX .GE. N ) THEN |
IF( NBMAX .GE. N ) THEN |
CALL ZSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO ) |
CALL ZSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO ) |
ELSE |
ELSE |