--- rpl/lapack/lapack/zgesc2.f 2010/08/13 21:04:03 1.6
+++ rpl/lapack/lapack/zgesc2.f 2018/05/29 07:18:15 1.18
@@ -1,9 +1,124 @@
+*> \brief \b ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZGESC2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )
+*
+* .. Scalar Arguments ..
+* INTEGER LDA, N
+* DOUBLE PRECISION SCALE
+* ..
+* .. Array Arguments ..
+* INTEGER IPIV( * ), JPIV( * )
+* COMPLEX*16 A( LDA, * ), RHS( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZGESC2 solves a system of linear equations
+*>
+*> A * X = scale* RHS
+*>
+*> with a general N-by-N matrix A using the LU factorization with
+*> complete pivoting computed by ZGETC2.
+*>
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA, N)
+*> On entry, the LU part of the factorization of the n-by-n
+*> matrix A computed by ZGETC2: A = P * L * U * Q
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1, N).
+*> \endverbatim
+*>
+*> \param[in,out] RHS
+*> \verbatim
+*> RHS is COMPLEX*16 array, dimension N.
+*> On entry, the right hand side vector b.
+*> On exit, the solution vector X.
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*> IPIV is INTEGER array, dimension (N).
+*> The pivot indices; for 1 <= i <= N, row i of the
+*> matrix has been interchanged with row IPIV(i).
+*> \endverbatim
+*>
+*> \param[in] JPIV
+*> \verbatim
+*> JPIV is INTEGER array, dimension (N).
+*> The pivot indices; for 1 <= j <= N, column j of the
+*> matrix has been interchanged with column JPIV(j).
+*> \endverbatim
+*>
+*> \param[out] SCALE
+*> \verbatim
+*> SCALE is DOUBLE PRECISION
+*> On exit, SCALE contains the scale factor. SCALE is chosen
+*> 0 <= SCALE <= 1 to prevent owerflow in the solution.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2017
+*
+*> \ingroup complex16GEauxiliary
+*
+*> \par Contributors:
+* ==================
+*>
+*> Bo Kagstrom and Peter Poromaa, Department of Computing Science,
+*> Umea University, S-901 87 Umea, Sweden.
+*
+* =====================================================================
SUBROUTINE ZGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.8.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2017
*
* .. Scalar Arguments ..
INTEGER LDA, N
@@ -14,53 +129,6 @@
COMPLEX*16 A( LDA, * ), RHS( * )
* ..
*
-* Purpose
-* =======
-*
-* ZGESC2 solves a system of linear equations
-*
-* A * X = scale* RHS
-*
-* with a general N-by-N matrix A using the LU factorization with
-* complete pivoting computed by ZGETC2.
-*
-*
-* Arguments
-* =========
-*
-* N (input) INTEGER
-* The number of columns of the matrix A.
-*
-* A (input) COMPLEX*16 array, dimension (LDA, N)
-* On entry, the LU part of the factorization of the n-by-n
-* matrix A computed by ZGETC2: A = P * L * U * Q
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1, N).
-*
-* RHS (input/output) COMPLEX*16 array, dimension N.
-* On entry, the right hand side vector b.
-* On exit, the solution vector X.
-*
-* IPIV (input) INTEGER array, dimension (N).
-* The pivot indices; for 1 <= i <= N, row i of the
-* matrix has been interchanged with row IPIV(i).
-*
-* JPIV (input) INTEGER array, dimension (N).
-* The pivot indices; for 1 <= j <= N, column j of the
-* matrix has been interchanged with column JPIV(j).
-*
-* SCALE (output) DOUBLE PRECISION
-* On exit, SCALE contains the scale factor. SCALE is chosen
-* 0 <= SCALE <= 1 to prevent owerflow in the solution.
-*
-* Further Details
-* ===============
-*
-* Based on contributions by
-* Bo Kagstrom and Peter Poromaa, Department of Computing Science,
-* Umea University, S-901 87 Umea, Sweden.
-*
* =====================================================================
*
* .. Parameters ..
@@ -73,7 +141,7 @@
COMPLEX*16 TEMP
* ..
* .. External Subroutines ..
- EXTERNAL ZLASWP, ZSCAL
+ EXTERNAL ZLASWP, ZSCAL, DLABAD
* ..
* .. External Functions ..
INTEGER IZAMAX