version 1.7, 2012/12/14 14:22:48
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version 1.11, 2017/06/17 10:54:16
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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 ZHETRS2 + dependencies |
*> Download ZHETRS2 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrs2.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
* SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
* WORK, INFO ) |
* WORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER UPLO |
* CHARACTER UPLO |
* INTEGER INFO, LDA, LDB, N, NRHS |
* INTEGER INFO, LDA, LDB, N, NRHS |
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* INTEGER IPIV( * ) |
* INTEGER IPIV( * ) |
* COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
* COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> |
*> |
*> \param[out] WORK |
*> \param[out] WORK |
*> \verbatim |
*> \verbatim |
*> WORK is REAL array, dimension (N) |
*> WORK is COMPLEX*16 array, dimension (N) |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[out] INFO |
*> \param[out] INFO |
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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 November 2011 |
*> \date June 2016 |
* |
* |
*> \ingroup complex16HEcomputational |
*> \ingroup complex16HEcomputational |
* |
* |
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
$ WORK, INFO ) |
$ WORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- LAPACK computational routine (version 3.7.0) -- |
* -- 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..-- |
* November 2011 |
* June 2016 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
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EXTERNAL LSAME |
EXTERNAL LSAME |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZLACGV, ZSCAL, ZSYCONV, ZSWAP, ZTRSM, XERBLA |
EXTERNAL ZDSCAL, ZSYCONV, ZSWAP, ZTRSM, XERBLA |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC DBLE, DCONJG, MAX |
INTRINSIC DBLE, DCONJG, MAX |
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* |
* |
* Solve A*X = B, where A = U*D*U**H. |
* Solve A*X = B, where A = U*D*U**H. |
* |
* |
* P**T * B |
* P**T * B |
K=N |
K=N |
DO WHILE ( K .GE. 1 ) |
DO WHILE ( K .GE. 1 ) |
IF( IPIV( K ).GT.0 ) THEN |
IF( IPIV( K ).GT.0 ) THEN |
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CALL ZTRSM('L','U','N','U',N,NRHS,ONE,A,LDA,B,LDB) |
CALL ZTRSM('L','U','N','U',N,NRHS,ONE,A,LDA,B,LDB) |
* |
* |
* Compute D \ B -> B [ D \ (U \P**T * B) ] |
* Compute D \ B -> B [ D \ (U \P**T * B) ] |
* |
* |
I=N |
I=N |
DO WHILE ( I .GE. 1 ) |
DO WHILE ( I .GE. 1 ) |
IF( IPIV(I) .GT. 0 ) THEN |
IF( IPIV(I) .GT. 0 ) THEN |
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* |
* |
* Solve A*X = B, where A = L*D*L**H. |
* Solve A*X = B, where A = L*D*L**H. |
* |
* |
* P**T * B |
* P**T * B |
K=1 |
K=1 |
DO WHILE ( K .LE. N ) |
DO WHILE ( K .LE. N ) |
IF( IPIV( K ).GT.0 ) THEN |
IF( IPIV( K ).GT.0 ) THEN |
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CALL ZTRSM('L','L','N','U',N,NRHS,ONE,A,LDA,B,LDB) |
CALL ZTRSM('L','L','N','U',N,NRHS,ONE,A,LDA,B,LDB) |
* |
* |
* Compute D \ B -> B [ D \ (L \P**T * B) ] |
* Compute D \ B -> B [ D \ (L \P**T * B) ] |
* |
* |
I=1 |
I=1 |
DO WHILE ( I .LE. N ) |
DO WHILE ( I .LE. N ) |
IF( IPIV(I) .GT. 0 ) THEN |
IF( IPIV(I) .GT. 0 ) THEN |
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END DO |
END DO |
* |
* |
* Compute (L**H \ B) -> B [ L**H \ (D \ (L \P**T * B) ) ] |
* Compute (L**H \ B) -> B [ L**H \ (D \ (L \P**T * B) ) ] |
* |
* |
CALL ZTRSM('L','L','C','U',N,NRHS,ONE,A,LDA,B,LDB) |
CALL ZTRSM('L','L','C','U',N,NRHS,ONE,A,LDA,B,LDB) |
* |
* |
* P * B [ P * (L**H \ (D \ (L \P**T * B) )) ] |
* P * B [ P * (L**H \ (D \ (L \P**T * B) )) ] |