version 1.14, 2016/08/27 15:34:45
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version 1.18, 2023/08/07 08:39:17
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* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download ZGELSS + dependencies |
*> Download ZGELSS + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgelss.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgelss.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgelss.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgelss.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgelss.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgelss.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, |
* SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, |
* WORK, LWORK, RWORK, INFO ) |
* WORK, LWORK, RWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER INFO, LDA, LDB, LWORK, M, N, NRHS, RANK |
* INTEGER INFO, LDA, LDB, LWORK, M, N, NRHS, RANK |
* DOUBLE PRECISION RCOND |
* DOUBLE PRECISION RCOND |
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* DOUBLE PRECISION RWORK( * ), S( * ) |
* DOUBLE PRECISION RWORK( * ), S( * ) |
* COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
* COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
|
*> \date June 2016 |
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* |
* |
*> \ingroup complex16GEsolve |
*> \ingroup complex16GEsolve |
* |
* |
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SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, |
SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, |
$ WORK, LWORK, RWORK, INFO ) |
$ WORK, LWORK, RWORK, INFO ) |
* |
* |
* -- LAPACK driver routine (version 3.6.1) -- |
* -- LAPACK driver 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..-- |
* June 2016 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, LDA, LDB, LWORK, M, N, NRHS, RANK |
INTEGER INFO, LDA, LDB, LWORK, M, N, NRHS, RANK |
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* |
* |
* Compute space needed for ZGEQRF |
* Compute space needed for ZGEQRF |
CALL ZGEQRF( M, N, A, LDA, DUM(1), DUM(1), -1, INFO ) |
CALL ZGEQRF( M, N, A, LDA, DUM(1), DUM(1), -1, INFO ) |
LWORK_ZGEQRF=DUM(1) |
LWORK_ZGEQRF = INT( DUM(1) ) |
* Compute space needed for ZUNMQR |
* Compute space needed for ZUNMQR |
CALL ZUNMQR( 'L', 'C', M, NRHS, N, A, LDA, DUM(1), B, |
CALL ZUNMQR( 'L', 'C', M, NRHS, N, A, LDA, DUM(1), B, |
$ LDB, DUM(1), -1, INFO ) |
$ LDB, DUM(1), -1, INFO ) |
LWORK_ZUNMQR=DUM(1) |
LWORK_ZUNMQR = INT( DUM(1) ) |
MM = N |
MM = N |
MAXWRK = MAX( MAXWRK, N + N*ILAENV( 1, 'ZGEQRF', ' ', M, |
MAXWRK = MAX( MAXWRK, N + N*ILAENV( 1, 'ZGEQRF', ' ', M, |
$ N, -1, -1 ) ) |
$ N, -1, -1 ) ) |
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* Compute space needed for ZGEBRD |
* Compute space needed for ZGEBRD |
CALL ZGEBRD( MM, N, A, LDA, S, S, DUM(1), DUM(1), DUM(1), |
CALL ZGEBRD( MM, N, A, LDA, S, S, DUM(1), DUM(1), DUM(1), |
$ -1, INFO ) |
$ -1, INFO ) |
LWORK_ZGEBRD=DUM(1) |
LWORK_ZGEBRD = INT( DUM(1) ) |
* Compute space needed for ZUNMBR |
* Compute space needed for ZUNMBR |
CALL ZUNMBR( 'Q', 'L', 'C', MM, NRHS, N, A, LDA, DUM(1), |
CALL ZUNMBR( 'Q', 'L', 'C', MM, NRHS, N, A, LDA, DUM(1), |
$ B, LDB, DUM(1), -1, INFO ) |
$ B, LDB, DUM(1), -1, INFO ) |
LWORK_ZUNMBR=DUM(1) |
LWORK_ZUNMBR = INT( DUM(1) ) |
* Compute space needed for ZUNGBR |
* Compute space needed for ZUNGBR |
CALL ZUNGBR( 'P', N, N, N, A, LDA, DUM(1), |
CALL ZUNGBR( 'P', N, N, N, A, LDA, DUM(1), |
$ DUM(1), -1, INFO ) |
$ DUM(1), -1, INFO ) |
LWORK_ZUNGBR=DUM(1) |
LWORK_ZUNGBR = INT( DUM(1) ) |
* Compute total workspace needed |
* Compute total workspace needed |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZGEBRD ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZGEBRD ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNMBR ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNMBR ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNGBR ) |
MAXWRK = MAX( MAXWRK, 2*N + LWORK_ZUNGBR ) |
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* Compute space needed for ZGELQF |
* Compute space needed for ZGELQF |
CALL ZGELQF( M, N, A, LDA, DUM(1), DUM(1), |
CALL ZGELQF( M, N, A, LDA, DUM(1), DUM(1), |
$ -1, INFO ) |
$ -1, INFO ) |
LWORK_ZGELQF=DUM(1) |
LWORK_ZGELQF = INT( DUM(1) ) |
* Compute space needed for ZGEBRD |
* Compute space needed for ZGEBRD |
CALL ZGEBRD( M, M, A, LDA, S, S, DUM(1), DUM(1), |
CALL ZGEBRD( M, M, A, LDA, S, S, DUM(1), DUM(1), |
$ DUM(1), -1, INFO ) |
$ DUM(1), -1, INFO ) |
LWORK_ZGEBRD=DUM(1) |
LWORK_ZGEBRD = INT( DUM(1) ) |
* Compute space needed for ZUNMBR |
* Compute space needed for ZUNMBR |
CALL ZUNMBR( 'Q', 'L', 'C', M, NRHS, N, A, LDA, |
CALL ZUNMBR( 'Q', 'L', 'C', M, NRHS, N, A, LDA, |
$ DUM(1), B, LDB, DUM(1), -1, INFO ) |
$ DUM(1), B, LDB, DUM(1), -1, INFO ) |
LWORK_ZUNMBR=DUM(1) |
LWORK_ZUNMBR = INT( DUM(1) ) |
* Compute space needed for ZUNGBR |
* Compute space needed for ZUNGBR |
CALL ZUNGBR( 'P', M, M, M, A, LDA, DUM(1), |
CALL ZUNGBR( 'P', M, M, M, A, LDA, DUM(1), |
$ DUM(1), -1, INFO ) |
$ DUM(1), -1, INFO ) |
LWORK_ZUNGBR=DUM(1) |
LWORK_ZUNGBR = INT( DUM(1) ) |
* Compute space needed for ZUNMLQ |
* Compute space needed for ZUNMLQ |
CALL ZUNMLQ( 'L', 'C', N, NRHS, M, A, LDA, DUM(1), |
CALL ZUNMLQ( 'L', 'C', N, NRHS, M, A, LDA, DUM(1), |
$ B, LDB, DUM(1), -1, INFO ) |
$ B, LDB, DUM(1), -1, INFO ) |
LWORK_ZUNMLQ=DUM(1) |
LWORK_ZUNMLQ = INT( DUM(1) ) |
* Compute total workspace needed |
* Compute total workspace needed |
MAXWRK = M + LWORK_ZGELQF |
MAXWRK = M + LWORK_ZGELQF |
MAXWRK = MAX( MAXWRK, 3*M + M*M + LWORK_ZGEBRD ) |
MAXWRK = MAX( MAXWRK, 3*M + M*M + LWORK_ZGEBRD ) |
MAXWRK = MAX( MAXWRK, 3*M + M*M + LWORK_ZUNMBR ) |
MAXWRK = MAX( MAXWRK, 3*M + M*M + LWORK_ZUNMBR ) |
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* Compute space needed for ZGEBRD |
* Compute space needed for ZGEBRD |
CALL ZGEBRD( M, N, A, LDA, S, S, DUM(1), DUM(1), |
CALL ZGEBRD( M, N, A, LDA, S, S, DUM(1), DUM(1), |
$ DUM(1), -1, INFO ) |
$ DUM(1), -1, INFO ) |
LWORK_ZGEBRD=DUM(1) |
LWORK_ZGEBRD = INT( DUM(1) ) |
* Compute space needed for ZUNMBR |
* Compute space needed for ZUNMBR |
CALL ZUNMBR( 'Q', 'L', 'C', M, NRHS, M, A, LDA, |
CALL ZUNMBR( 'Q', 'L', 'C', M, NRHS, M, A, LDA, |
$ DUM(1), B, LDB, DUM(1), -1, INFO ) |
$ DUM(1), B, LDB, DUM(1), -1, INFO ) |
LWORK_ZUNMBR=DUM(1) |
LWORK_ZUNMBR = INT( DUM(1) ) |
* Compute space needed for ZUNGBR |
* Compute space needed for ZUNGBR |
CALL ZUNGBR( 'P', M, N, M, A, LDA, DUM(1), |
CALL ZUNGBR( 'P', M, N, M, A, LDA, DUM(1), |
$ DUM(1), -1, INFO ) |
$ DUM(1), -1, INFO ) |
LWORK_ZUNGBR=DUM(1) |
LWORK_ZUNGBR = INT( DUM(1) ) |
MAXWRK = 2*M + LWORK_ZGEBRD |
MAXWRK = 2*M + LWORK_ZGEBRD |
MAXWRK = MAX( MAXWRK, 2*M + LWORK_ZUNMBR ) |
MAXWRK = MAX( MAXWRK, 2*M + LWORK_ZUNMBR ) |
MAXWRK = MAX( MAXWRK, 2*M + LWORK_ZUNGBR ) |
MAXWRK = MAX( MAXWRK, 2*M + LWORK_ZUNGBR ) |