--- rpl/lapack/lapack/zgetc2.f 2010/12/21 13:53:44 1.7 +++ rpl/lapack/lapack/zgetc2.f 2011/11/21 20:43:10 1.8 @@ -1,9 +1,120 @@ +*> \brief \b ZGETC2 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZGETC2 + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZGETC2( N, A, LDA, IPIV, JPIV, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, LDA, N +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ), JPIV( * ) +* COMPLEX*16 A( LDA, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZGETC2 computes an LU factorization, using complete pivoting, of the +*> n-by-n matrix A. The factorization has the form A = P * L * U * Q, +*> where P and Q are permutation matrices, L is lower triangular with +*> unit diagonal elements and U is upper triangular. +*> +*> This is a level 1 BLAS version of the algorithm. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA, N) +*> On entry, the n-by-n matrix to be factored. +*> On exit, the factors L and U from the factorization +*> A = P*L*U*Q; the unit diagonal elements of L are not stored. +*> If U(k, k) appears to be less than SMIN, U(k, k) is given the +*> value of SMIN, giving a nonsingular perturbed system. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1, N). +*> \endverbatim +*> +*> \param[out] 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[out] 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] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> > 0: if INFO = k, U(k, k) is likely to produce overflow if +*> one tries to solve for x in Ax = b. So U is perturbed +*> to avoid the overflow. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16GEauxiliary +* +*> \par Contributors: +* ================== +*> +*> Bo Kagstrom and Peter Poromaa, Department of Computing Science, +*> Umea University, S-901 87 Umea, Sweden. +* +* ===================================================================== SUBROUTINE ZGETC2( N, A, LDA, IPIV, JPIV, INFO ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. INTEGER INFO, LDA, N @@ -13,53 +124,6 @@ COMPLEX*16 A( LDA, * ) * .. * -* Purpose -* ======= -* -* ZGETC2 computes an LU factorization, using complete pivoting, of the -* n-by-n matrix A. The factorization has the form A = P * L * U * Q, -* where P and Q are permutation matrices, L is lower triangular with -* unit diagonal elements and U is upper triangular. -* -* This is a level 1 BLAS version of the algorithm. -* -* Arguments -* ========= -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) COMPLEX*16 array, dimension (LDA, N) -* On entry, the n-by-n matrix to be factored. -* On exit, the factors L and U from the factorization -* A = P*L*U*Q; the unit diagonal elements of L are not stored. -* If U(k, k) appears to be less than SMIN, U(k, k) is given the -* value of SMIN, giving a nonsingular perturbed system. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1, N). -* -* IPIV (output) INTEGER array, dimension (N). -* The pivot indices; for 1 <= i <= N, row i of the -* matrix has been interchanged with row IPIV(i). -* -* JPIV (output) INTEGER array, dimension (N). -* The pivot indices; for 1 <= j <= N, column j of the -* matrix has been interchanged with column JPIV(j). -* -* INFO (output) INTEGER -* = 0: successful exit -* > 0: if INFO = k, U(k, k) is likely to produce overflow if -* one tries to solve for x in Ax = b. So U is perturbed -* to avoid the overflow. -* -* Further Details -* =============== -* -* Based on contributions by -* Bo Kagstrom and Peter Poromaa, Department of Computing Science, -* Umea University, S-901 87 Umea, Sweden. -* * ===================================================================== * * .. Parameters ..