version 1.1.1.1, 2010/01/26 15:22:46
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version 1.8, 2011/07/22 07:38:19
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SUBROUTINE ZPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO ) |
SUBROUTINE ZPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK routine (version 3.3.1) -- |
* -- 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 2006 |
* -- April 2011 -- |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
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* |
* |
* ZPOTRS solves a system of linear equations A*X = B with a Hermitian |
* ZPOTRS solves a system of linear equations A*X = B with a Hermitian |
* positive definite matrix A using the Cholesky factorization |
* positive definite matrix A using the Cholesky factorization |
* A = U**H*U or A = L*L**H computed by ZPOTRF. |
* A = U**H * U or A = L * L**H computed by ZPOTRF. |
* |
* |
* Arguments |
* Arguments |
* ========= |
* ========= |
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* |
* |
* A (input) COMPLEX*16 array, dimension (LDA,N) |
* A (input) COMPLEX*16 array, dimension (LDA,N) |
* The triangular factor U or L from the Cholesky factorization |
* The triangular factor U or L from the Cholesky factorization |
* A = U**H*U or A = L*L**H, as computed by ZPOTRF. |
* A = U**H * U or A = L * L**H, as computed by ZPOTRF. |
* |
* |
* LDA (input) INTEGER |
* LDA (input) INTEGER |
* The leading dimension of the array A. LDA >= max(1,N). |
* The leading dimension of the array A. LDA >= max(1,N). |
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* |
* |
IF( UPPER ) THEN |
IF( UPPER ) THEN |
* |
* |
* Solve A*X = B where A = U'*U. |
* Solve A*X = B where A = U**H *U. |
* |
* |
* Solve U'*X = B, overwriting B with X. |
* Solve U**H *X = B, overwriting B with X. |
* |
* |
CALL ZTRSM( 'Left', 'Upper', 'Conjugate transpose', 'Non-unit', |
CALL ZTRSM( 'Left', 'Upper', 'Conjugate transpose', 'Non-unit', |
$ N, NRHS, ONE, A, LDA, B, LDB ) |
$ N, NRHS, ONE, A, LDA, B, LDB ) |
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$ NRHS, ONE, A, LDA, B, LDB ) |
$ NRHS, ONE, A, LDA, B, LDB ) |
ELSE |
ELSE |
* |
* |
* Solve A*X = B where A = L*L'. |
* Solve A*X = B where A = L*L**H. |
* |
* |
* Solve L*X = B, overwriting B with X. |
* Solve L*X = B, overwriting B with X. |
* |
* |
CALL ZTRSM( 'Left', 'Lower', 'No transpose', 'Non-unit', N, |
CALL ZTRSM( 'Left', 'Lower', 'No transpose', 'Non-unit', N, |
$ NRHS, ONE, A, LDA, B, LDB ) |
$ NRHS, ONE, A, LDA, B, LDB ) |
* |
* |
* Solve L'*X = B, overwriting B with X. |
* Solve L**H *X = B, overwriting B with X. |
* |
* |
CALL ZTRSM( 'Left', 'Lower', 'Conjugate transpose', 'Non-unit', |
CALL ZTRSM( 'Left', 'Lower', 'Conjugate transpose', 'Non-unit', |
$ N, NRHS, ONE, A, LDA, B, LDB ) |
$ N, NRHS, ONE, A, LDA, B, LDB ) |