version 1.7, 2010/12/21 13:53:55
|
version 1.12, 2012/12/14 12:30:34
|
Line 1
|
Line 1
|
|
*> \brief \b ZPTTRS |
|
* |
|
* =========== DOCUMENTATION =========== |
|
* |
|
* Online html documentation available at |
|
* http://www.netlib.org/lapack/explore-html/ |
|
* |
|
*> \htmlonly |
|
*> Download ZPTTRS + dependencies |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpttrs.f"> |
|
*> [TGZ]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpttrs.f"> |
|
*> [ZIP]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpttrs.f"> |
|
*> [TXT]</a> |
|
*> \endhtmlonly |
|
* |
|
* Definition: |
|
* =========== |
|
* |
|
* SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO ) |
|
* |
|
* .. Scalar Arguments .. |
|
* CHARACTER UPLO |
|
* INTEGER INFO, LDB, N, NRHS |
|
* .. |
|
* .. Array Arguments .. |
|
* DOUBLE PRECISION D( * ) |
|
* COMPLEX*16 B( LDB, * ), E( * ) |
|
* .. |
|
* |
|
* |
|
*> \par Purpose: |
|
* ============= |
|
*> |
|
*> \verbatim |
|
*> |
|
*> ZPTTRS solves a tridiagonal system of the form |
|
*> A * X = B |
|
*> using the factorization A = U**H *D* U or A = L*D*L**H computed by ZPTTRF. |
|
*> D is a diagonal matrix specified in the vector D, U (or L) is a unit |
|
*> bidiagonal matrix whose superdiagonal (subdiagonal) is specified in |
|
*> the vector E, and X and B are N by NRHS matrices. |
|
*> \endverbatim |
|
* |
|
* Arguments: |
|
* ========== |
|
* |
|
*> \param[in] UPLO |
|
*> \verbatim |
|
*> UPLO is CHARACTER*1 |
|
*> Specifies the form of the factorization and whether the |
|
*> vector E is the superdiagonal of the upper bidiagonal factor |
|
*> U or the subdiagonal of the lower bidiagonal factor L. |
|
*> = 'U': A = U**H *D*U, E is the superdiagonal of U |
|
*> = 'L': A = L*D*L**H, E is the subdiagonal of L |
|
*> \endverbatim |
|
*> |
|
*> \param[in] N |
|
*> \verbatim |
|
*> N is INTEGER |
|
*> The order of the tridiagonal 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] D |
|
*> \verbatim |
|
*> D is DOUBLE PRECISION array, dimension (N) |
|
*> The n diagonal elements of the diagonal matrix D from the |
|
*> factorization A = U**H *D*U or A = L*D*L**H. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] E |
|
*> \verbatim |
|
*> E is COMPLEX*16 array, dimension (N-1) |
|
*> If UPLO = 'U', the (n-1) superdiagonal elements of the unit |
|
*> bidiagonal factor U from the factorization A = U**H*D*U. |
|
*> If UPLO = 'L', the (n-1) subdiagonal elements of the unit |
|
*> bidiagonal factor L from the factorization A = L*D*L**H. |
|
*> \endverbatim |
|
*> |
|
*> \param[in,out] B |
|
*> \verbatim |
|
*> B is DOUBLE PRECISION array, dimension (LDB,NRHS) |
|
*> On entry, the right hand side vectors B for the system of |
|
*> linear equations. |
|
*> On exit, the solution vectors, X. |
|
*> \endverbatim |
|
*> |
|
*> \param[in] LDB |
|
*> \verbatim |
|
*> LDB is INTEGER |
|
*> The leading dimension of the array B. LDB >= max(1,N). |
|
*> \endverbatim |
|
*> |
|
*> \param[out] INFO |
|
*> \verbatim |
|
*> INFO is INTEGER |
|
*> = 0: successful exit |
|
*> < 0: if INFO = -k, the k-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 September 2012 |
|
* |
|
*> \ingroup complex16PTcomputational |
|
* |
|
* ===================================================================== |
SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO ) |
SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK computational routine (version 3.4.2) -- |
* -- 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 |
* September 2012 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER UPLO |
CHARACTER UPLO |
Line 14
|
Line 135
|
COMPLEX*16 B( LDB, * ), E( * ) |
COMPLEX*16 B( LDB, * ), E( * ) |
* .. |
* .. |
* |
* |
* Purpose |
|
* ======= |
|
* |
|
* ZPTTRS solves a tridiagonal system of the form |
|
* A * X = B |
|
* using the factorization A = U'*D*U or A = L*D*L' computed by ZPTTRF. |
|
* D is a diagonal matrix specified in the vector D, U (or L) is a unit |
|
* bidiagonal matrix whose superdiagonal (subdiagonal) is specified in |
|
* the vector E, and X and B are N by NRHS matrices. |
|
* |
|
* Arguments |
|
* ========= |
|
* |
|
* UPLO (input) CHARACTER*1 |
|
* Specifies the form of the factorization and whether the |
|
* vector E is the superdiagonal of the upper bidiagonal factor |
|
* U or the subdiagonal of the lower bidiagonal factor L. |
|
* = 'U': A = U'*D*U, E is the superdiagonal of U |
|
* = 'L': A = L*D*L', E is the subdiagonal of L |
|
* |
|
* N (input) INTEGER |
|
* The order of the tridiagonal 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. |
|
* |
|
* D (input) DOUBLE PRECISION array, dimension (N) |
|
* The n diagonal elements of the diagonal matrix D from the |
|
* factorization A = U'*D*U or A = L*D*L'. |
|
* |
|
* E (input) COMPLEX*16 array, dimension (N-1) |
|
* If UPLO = 'U', the (n-1) superdiagonal elements of the unit |
|
* bidiagonal factor U from the factorization A = U'*D*U. |
|
* If UPLO = 'L', the (n-1) subdiagonal elements of the unit |
|
* bidiagonal factor L from the factorization A = L*D*L'. |
|
* |
|
* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) |
|
* On entry, the right hand side vectors B for the system of |
|
* linear equations. |
|
* On exit, the solution vectors, X. |
|
* |
|
* LDB (input) INTEGER |
|
* The leading dimension of the array B. LDB >= max(1,N). |
|
* |
|
* INFO (output) INTEGER |
|
* = 0: successful exit |
|
* < 0: if INFO = -k, the k-th argument had an illegal value |
|
* |
|
* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Local Scalars .. |
* .. Local Scalars .. |