version 1.6, 2011/11/21 22:19:30
|
version 1.15, 2018/05/29 07:17:54
|
Line 1
|
Line 1
|
*> \brief \b DLA_GBRFSX_EXTENDED |
*> \brief \b DLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution. |
* |
* |
* =========== 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 DLA_GBRFSX_EXTENDED + dependencies |
*> Download DLA_GBRFSX_EXTENDED + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dla_gbrfsx_extended.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
Line 25
|
Line 25
|
* ERR_BNDS_COMP, RES, AYB, DY, |
* ERR_BNDS_COMP, RES, AYB, DY, |
* Y_TAIL, RCOND, ITHRESH, RTHRESH, |
* Y_TAIL, RCOND, ITHRESH, RTHRESH, |
* DZ_UB, IGNORE_CWISE, INFO ) |
* DZ_UB, IGNORE_CWISE, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS, |
* INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS, |
* $ PREC_TYPE, TRANS_TYPE, N_NORMS, ITHRESH |
* $ PREC_TYPE, TRANS_TYPE, N_NORMS, ITHRESH |
Line 40
|
Line 40
|
* $ ERR_BNDS_NORM( NRHS, * ), |
* $ ERR_BNDS_NORM( NRHS, * ), |
* $ ERR_BNDS_COMP( NRHS, * ) |
* $ ERR_BNDS_COMP( NRHS, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
*> |
*> |
*> \verbatim |
*> \verbatim |
*> |
*> |
*> |
*> |
*> DLA_GBRFSX_EXTENDED improves the computed solution to a system of |
*> DLA_GBRFSX_EXTENDED improves the computed solution to a system of |
*> linear equations by performing extra-precise iterative refinement |
*> linear equations by performing extra-precise iterative refinement |
*> and provides error bounds and backward error estimates for the solution. |
*> and provides error bounds and backward error estimates for the solution. |
Line 177
|
Line 177
|
*> |
*> |
*> \param[in,out] Y |
*> \param[in,out] Y |
*> \verbatim |
*> \verbatim |
*> Y is DOUBLE PRECISION array, dimension |
*> Y is DOUBLE PRECISION array, dimension (LDY,NRHS) |
*> (LDY,NRHS) |
|
*> On entry, the solution matrix X, as computed by DGBTRS. |
*> On entry, the solution matrix X, as computed by DGBTRS. |
*> On exit, the improved solution matrix Y. |
*> On exit, the improved solution matrix Y. |
*> \endverbatim |
*> \endverbatim |
Line 210
|
Line 209
|
*> |
*> |
*> \param[in,out] ERR_BNDS_NORM |
*> \param[in,out] ERR_BNDS_NORM |
*> \verbatim |
*> \verbatim |
*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension |
*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS) |
*> (NRHS, N_ERR_BNDS) |
|
*> For each right-hand side, this array contains information about |
*> For each right-hand side, this array contains information about |
*> various error bounds and condition numbers corresponding to the |
*> various error bounds and condition numbers corresponding to the |
*> normwise relative error, which is defined as follows: |
*> normwise relative error, which is defined as follows: |
Line 257
|
Line 255
|
*> |
*> |
*> \param[in,out] ERR_BNDS_COMP |
*> \param[in,out] ERR_BNDS_COMP |
*> \verbatim |
*> \verbatim |
*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension |
*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS) |
*> (NRHS, N_ERR_BNDS) |
|
*> For each right-hand side, this array contains information about |
*> For each right-hand side, this array contains information about |
*> various error bounds and condition numbers corresponding to the |
*> various error bounds and condition numbers corresponding to the |
*> componentwise relative error, which is defined as follows: |
*> componentwise relative error, which is defined as follows: |
Line 396
|
Line 393
|
* 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 2017 |
* |
* |
*> \ingroup doubleGBcomputational |
*> \ingroup doubleGBcomputational |
* |
* |
Line 414
|
Line 411
|
$ Y_TAIL, RCOND, ITHRESH, RTHRESH, |
$ Y_TAIL, RCOND, ITHRESH, RTHRESH, |
$ DZ_UB, IGNORE_CWISE, INFO ) |
$ DZ_UB, IGNORE_CWISE, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- LAPACK computational routine (version 3.7.1) -- |
* -- 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 2011 |
* June 2017 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS, |
INTEGER INFO, LDAB, LDAFB, LDB, LDY, N, KL, KU, NRHS, |