version 1.3, 2010/08/06 15:28:52
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version 1.9, 2011/11/21 22:19:46
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*> \brief \b ZGESC2 |
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* |
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* =========== DOCUMENTATION =========== |
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* |
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* Online html documentation available at |
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* http://www.netlib.org/lapack/explore-html/ |
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* |
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*> \htmlonly |
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*> Download ZGESC2 + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgesc2.f"> |
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*> [TGZ]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgesc2.f"> |
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*> [ZIP]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgesc2.f"> |
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*> [TXT]</a> |
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*> \endhtmlonly |
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* |
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* Definition: |
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* =========== |
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* |
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* SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE ) |
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* |
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* .. Scalar Arguments .. |
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* INTEGER LDA, N |
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* DOUBLE PRECISION SCALE |
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* .. |
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* .. Array Arguments .. |
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* INTEGER IPIV( * ), JPIV( * ) |
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* COMPLEX*16 A( LDA, * ), RHS( * ) |
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* .. |
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* |
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* |
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*> \par Purpose: |
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* ============= |
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*> |
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*> \verbatim |
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*> |
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*> ZGESC2 solves a system of linear equations |
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*> |
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*> A * X = scale* RHS |
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*> |
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*> with a general N-by-N matrix A using the LU factorization with |
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*> complete pivoting computed by ZGETC2. |
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*> |
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*> \endverbatim |
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* |
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* Arguments: |
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* ========== |
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* |
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*> \param[in] N |
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*> \verbatim |
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*> N is INTEGER |
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*> The number of columns of the matrix A. |
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*> \endverbatim |
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*> |
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*> \param[in] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension (LDA, N) |
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*> On entry, the LU part of the factorization of the n-by-n |
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*> matrix A computed by ZGETC2: A = P * L * U * Q |
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*> \endverbatim |
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*> |
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*> \param[in] LDA |
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*> \verbatim |
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*> LDA is INTEGER |
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*> The leading dimension of the array A. LDA >= max(1, N). |
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*> \endverbatim |
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*> |
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*> \param[in,out] RHS |
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*> \verbatim |
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*> RHS is COMPLEX*16 array, dimension N. |
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*> On entry, the right hand side vector b. |
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*> On exit, the solution vector X. |
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*> \endverbatim |
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*> |
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*> \param[in] IPIV |
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*> \verbatim |
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*> IPIV is INTEGER array, dimension (N). |
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*> The pivot indices; for 1 <= i <= N, row i of the |
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*> matrix has been interchanged with row IPIV(i). |
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*> \endverbatim |
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*> |
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*> \param[in] JPIV |
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*> \verbatim |
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*> JPIV is INTEGER array, dimension (N). |
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*> The pivot indices; for 1 <= j <= N, column j of the |
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*> matrix has been interchanged with column JPIV(j). |
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*> \endverbatim |
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*> |
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*> \param[out] SCALE |
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*> \verbatim |
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*> SCALE is DOUBLE PRECISION |
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*> On exit, SCALE contains the scale factor. SCALE is chosen |
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*> 0 <= SCALE <= 1 to prevent owerflow in the solution. |
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*> \endverbatim |
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* |
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* Authors: |
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* ======== |
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* |
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*> \author Univ. of Tennessee |
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*> \author Univ. of California Berkeley |
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*> \author Univ. of Colorado Denver |
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*> \author NAG Ltd. |
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* |
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*> \date November 2011 |
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* |
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*> \ingroup complex16GEauxiliary |
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* |
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*> \par Contributors: |
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* ================== |
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*> |
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*> Bo Kagstrom and Peter Poromaa, Department of Computing Science, |
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*> Umea University, S-901 87 Umea, Sweden. |
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* |
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* ===================================================================== |
SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE ) |
SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.2) -- |
* -- LAPACK auxiliary 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 2006 |
* November 2011 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER LDA, N |
INTEGER LDA, N |
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COMPLEX*16 A( LDA, * ), RHS( * ) |
COMPLEX*16 A( LDA, * ), RHS( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZGESC2 solves a system of linear equations |
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* |
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* A * X = scale* RHS |
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* |
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* with a general N-by-N matrix A using the LU factorization with |
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* complete pivoting computed by ZGETC2. |
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* |
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* |
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* Arguments |
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* ========= |
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* |
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* N (input) INTEGER |
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* The number of columns of the matrix A. |
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* |
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* A (input) COMPLEX*16 array, dimension (LDA, N) |
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* On entry, the LU part of the factorization of the n-by-n |
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* matrix A computed by ZGETC2: A = P * L * U * Q |
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* |
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* LDA (input) INTEGER |
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* The leading dimension of the array A. LDA >= max(1, N). |
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* |
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* RHS (input/output) COMPLEX*16 array, dimension N. |
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* On entry, the right hand side vector b. |
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* On exit, the solution vector X. |
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* |
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* IPIV (input) INTEGER array, dimension (N). |
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* The pivot indices; for 1 <= i <= N, row i of the |
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* matrix has been interchanged with row IPIV(i). |
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* |
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* JPIV (input) INTEGER array, dimension (N). |
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* The pivot indices; for 1 <= j <= N, column j of the |
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* matrix has been interchanged with column JPIV(j). |
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* |
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* SCALE (output) DOUBLE PRECISION |
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* On exit, SCALE contains the scale factor. SCALE is chosen |
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* 0 <= SCALE <= 1 to prevent owerflow in the solution. |
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* |
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* Further Details |
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* =============== |
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* |
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* Based on contributions by |
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* Bo Kagstrom and Peter Poromaa, Department of Computing Science, |
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* Umea University, S-901 87 Umea, Sweden. |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |