version 1.13, 2012/12/14 14:22:47
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version 1.20, 2023/08/07 08:39:23
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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 ZHEGS2 + dependencies |
*> Download ZHEGS2 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhegs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhegs2.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhegs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhegs2.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhegs2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhegs2.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO ) |
* SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER UPLO |
* CHARACTER UPLO |
* INTEGER INFO, ITYPE, LDA, LDB, N |
* INTEGER INFO, ITYPE, LDA, LDB, N |
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* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 A( LDA, * ), B( LDB, * ) |
* COMPLEX*16 A( LDA, * ), B( LDB, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> B is COMPLEX*16 array, dimension (LDB,N) |
*> B is COMPLEX*16 array, dimension (LDB,N) |
*> The triangular factor from the Cholesky factorization of B, |
*> The triangular factor from the Cholesky factorization of B, |
*> as returned by ZPOTRF. |
*> as returned by ZPOTRF. |
|
*> B is modified by the routine but restored on exit. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in] LDB |
*> \param[in] LDB |
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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 September 2012 |
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* |
* |
*> \ingroup complex16HEcomputational |
*> \ingroup complex16HEcomputational |
* |
* |
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO ) |
SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.2) -- |
* -- 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..-- |
* September 2012 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
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* |
* |
* Update the upper triangle of A(k:n,k:n) |
* Update the upper triangle of A(k:n,k:n) |
* |
* |
AKK = A( K, K ) |
AKK = DBLE( A( K, K ) ) |
BKK = B( K, K ) |
BKK = DBLE( B( K, K ) ) |
AKK = AKK / BKK**2 |
AKK = AKK / BKK**2 |
A( K, K ) = AKK |
A( K, K ) = AKK |
IF( K.LT.N ) THEN |
IF( K.LT.N ) THEN |
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* |
* |
* Update the lower triangle of A(k:n,k:n) |
* Update the lower triangle of A(k:n,k:n) |
* |
* |
AKK = A( K, K ) |
AKK = DBLE( A( K, K ) ) |
BKK = B( K, K ) |
BKK = DBLE( B( K, K ) ) |
AKK = AKK / BKK**2 |
AKK = AKK / BKK**2 |
A( K, K ) = AKK |
A( K, K ) = AKK |
IF( K.LT.N ) THEN |
IF( K.LT.N ) THEN |
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* |
* |
* Update the upper triangle of A(1:k,1:k) |
* Update the upper triangle of A(1:k,1:k) |
* |
* |
AKK = A( K, K ) |
AKK = DBLE( A( K, K ) ) |
BKK = B( K, K ) |
BKK = DBLE( B( K, K ) ) |
CALL ZTRMV( UPLO, 'No transpose', 'Non-unit', K-1, B, |
CALL ZTRMV( UPLO, 'No transpose', 'Non-unit', K-1, B, |
$ LDB, A( 1, K ), 1 ) |
$ LDB, A( 1, K ), 1 ) |
CT = HALF*AKK |
CT = HALF*AKK |
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* |
* |
* Update the lower triangle of A(1:k,1:k) |
* Update the lower triangle of A(1:k,1:k) |
* |
* |
AKK = A( K, K ) |
AKK = DBLE( A( K, K ) ) |
BKK = B( K, K ) |
BKK = DBLE( B( K, K ) ) |
CALL ZLACGV( K-1, A( K, 1 ), LDA ) |
CALL ZLACGV( K-1, A( K, 1 ), LDA ) |
CALL ZTRMV( UPLO, 'Conjugate transpose', 'Non-unit', K-1, |
CALL ZTRMV( UPLO, 'Conjugate transpose', 'Non-unit', K-1, |
$ B, LDB, A( K, 1 ), LDA ) |
$ B, LDB, A( K, 1 ), LDA ) |