version 1.3, 2011/07/22 07:38:15
|
version 1.4, 2011/11/21 20:43:12
|
Line 1
|
Line 1
|
SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
*> \brief \b ZHETRS2 |
$ WORK, INFO ) |
* |
|
* =========== DOCUMENTATION =========== |
* |
* |
* -- LAPACK PROTOTYPE routine (version 3.3.1) -- |
* Online html documentation available at |
|
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
* -- Written by Julie Langou of the Univ. of TN -- |
*> \htmlonly |
* -- April 2011 -- |
*> Download ZHETRS2 + dependencies |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrs2.f"> |
|
*> [TGZ]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrs2.f"> |
|
*> [ZIP]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrs2.f"> |
|
*> [TXT]</a> |
|
*> \endhtmlonly |
|
* |
|
* Definition: |
|
* =========== |
|
* |
|
* SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
|
* WORK, INFO ) |
|
* |
|
* .. Scalar Arguments .. |
|
* CHARACTER UPLO |
|
* INTEGER INFO, LDA, LDB, N, NRHS |
|
* .. |
|
* .. Array Arguments .. |
|
* INTEGER IPIV( * ) |
|
* COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
|
* .. |
|
* |
|
* |
|
*> \par Purpose: |
|
* ============= |
|
*> |
|
*> \verbatim |
|
*> |
|
*> ZHETRS2 solves a system of linear equations A*X = B with a complex |
|
*> Hermitian matrix A using the factorization A = U*D*U**H or |
|
*> A = L*D*L**H computed by ZHETRF and converted by ZSYCONV. |
|
*> \endverbatim |
|
* |
|
* Arguments: |
|
* ========== |
|
* |
|
*> \param[in] UPLO |
|
*> \verbatim |
|
*> UPLO is CHARACTER*1 |
|
*> Specifies whether the details of the factorization are stored |
|
*> as an upper or lower triangular matrix. |
|
*> = 'U': Upper triangular, form is A = U*D*U**H; |
|
*> = 'L': Lower triangular, form is A = L*D*L**H. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] N |
|
*> \verbatim |
|
*> N is INTEGER |
|
*> The order of the matrix A. N >= 0. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] NRHS |
|
*> \verbatim |
|
*> NRHS is INTEGER |
|
*> The number of right hand sides, i.e., the number of columns |
|
*> of the matrix B. NRHS >= 0. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] A |
|
*> \verbatim |
|
*> A is COMPLEX*16 array, dimension (LDA,N) |
|
*> The block diagonal matrix D and the multipliers used to |
|
*> obtain the factor U or L as computed by ZHETRF. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] LDA |
|
*> \verbatim |
|
*> LDA is INTEGER |
|
*> The leading dimension of the array A. LDA >= max(1,N). |
|
*> \endverbatim |
|
*> |
|
*> \param[in] IPIV |
|
*> \verbatim |
|
*> IPIV is INTEGER array, dimension (N) |
|
*> Details of the interchanges and the block structure of D |
|
*> as determined by ZHETRF. |
|
*> \endverbatim |
|
*> |
|
*> \param[in,out] B |
|
*> \verbatim |
|
*> B is COMPLEX*16 array, dimension (LDB,NRHS) |
|
*> On entry, the right hand side matrix B. |
|
*> On exit, the solution matrix X. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] LDB |
|
*> \verbatim |
|
*> LDB is INTEGER |
|
*> The leading dimension of the array B. LDB >= max(1,N). |
|
*> \endverbatim |
|
*> |
|
*> \param[out] WORK |
|
*> \verbatim |
|
*> WORK is REAL array, dimension (N) |
|
*> \endverbatim |
|
*> |
|
*> \param[out] INFO |
|
*> \verbatim |
|
*> INFO is INTEGER |
|
*> = 0: successful exit |
|
*> < 0: if INFO = -i, the i-th argument had an illegal value |
|
*> \endverbatim |
|
* |
|
* Authors: |
|
* ======== |
|
* |
|
*> \author Univ. of Tennessee |
|
*> \author Univ. of California Berkeley |
|
*> \author Univ. of Colorado Denver |
|
*> \author NAG Ltd. |
* |
* |
|
*> \date November 2011 |
|
* |
|
*> \ingroup complex16HEcomputational |
|
* |
|
* ===================================================================== |
|
SUBROUTINE ZHETRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, |
|
$ WORK, INFO ) |
|
* |
|
* -- LAPACK computational routine (version 3.4.0) -- |
* -- 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 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
Line 15
|
Line 138
|
* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
INTEGER IPIV( * ) |
INTEGER IPIV( * ) |
DOUBLE COMPLEX A( LDA, * ), B( LDB, * ), WORK( * ) |
COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
|
* ======= |
|
* |
|
* ZHETRS2 solves a system of linear equations A*X = B with a complex |
|
* Hermitian matrix A using the factorization A = U*D*U**H or |
|
* A = L*D*L**H computed by ZHETRF and converted by ZSYCONV. |
|
* |
|
* Arguments |
|
* ========= |
|
* |
|
* UPLO (input) CHARACTER*1 |
|
* Specifies whether the details of the factorization are stored |
|
* as an upper or lower triangular matrix. |
|
* = 'U': Upper triangular, form is A = U*D*U**H; |
|
* = 'L': Lower triangular, form is A = L*D*L**H. |
|
* |
|
* N (input) INTEGER |
|
* The order of the matrix A. N >= 0. |
|
* |
|
* NRHS (input) INTEGER |
|
* The number of right hand sides, i.e., the number of columns |
|
* of the matrix B. NRHS >= 0. |
|
* |
|
* A (input) DOUBLE COMPLEX array, dimension (LDA,N) |
|
* The block diagonal matrix D and the multipliers used to |
|
* obtain the factor U or L as computed by ZHETRF. |
|
* |
|
* LDA (input) INTEGER |
|
* The leading dimension of the array A. LDA >= max(1,N). |
|
* |
|
* IPIV (input) INTEGER array, dimension (N) |
|
* Details of the interchanges and the block structure of D |
|
* as determined by ZHETRF. |
|
* |
|
* B (input/output) DOUBLE COMPLEX array, dimension (LDB,NRHS) |
|
* On entry, the right hand side matrix B. |
|
* On exit, the solution matrix X. |
|
* |
|
* LDB (input) INTEGER |
|
* The leading dimension of the array B. LDB >= max(1,N). |
|
* |
|
* WORK (workspace) REAL array, dimension (N) |
|
* |
|
* INFO (output) INTEGER |
|
* = 0: successful exit |
|
* < 0: if INFO = -i, the i-th argument had an illegal value |
|
* |
|
* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |
DOUBLE COMPLEX ONE |
COMPLEX*16 ONE |
PARAMETER ( ONE = (1.0D+0,0.0D+0) ) |
PARAMETER ( ONE = (1.0D+0,0.0D+0) ) |
* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
LOGICAL UPPER |
LOGICAL UPPER |
INTEGER I, IINFO, J, K, KP |
INTEGER I, IINFO, J, K, KP |
DOUBLE PRECISION S |
DOUBLE PRECISION S |
DOUBLE COMPLEX AK, AKM1, AKM1K, BK, BKM1, DENOM |
COMPLEX*16 AK, AKM1, AKM1K, BK, BKM1, DENOM |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME |