--- rpl/lapack/lapack/zgesv.f 2010/12/21 13:53:44 1.7 +++ rpl/lapack/lapack/zgesv.f 2011/11/21 20:43:09 1.8 @@ -1,9 +1,131 @@ +*> \brief ZGESV computes the solution to system of linear equations A * X = B for GE matrices (simple driver) +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZGESV + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, LDA, LDB, N, NRHS +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* COMPLEX*16 A( LDA, * ), B( LDB, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZGESV computes the solution to a complex system of linear equations +*> A * X = B, +*> where A is an N-by-N matrix and X and B are N-by-NRHS matrices. +*> +*> The LU decomposition with partial pivoting and row interchanges is +*> used to factor A as +*> A = P * L * U, +*> where P is a permutation matrix, L is unit lower triangular, and U is +*> upper triangular. The factored form of A is then used to solve the +*> system of equations A * X = B. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of linear equations, i.e., the order of the +*> 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,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> On entry, the N-by-N coefficient matrix A. +*> On exit, the factors L and U from the factorization +*> A = P*L*U; the unit diagonal elements of L are not stored. +*> \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 that define the permutation matrix P; +*> row i of the matrix was interchanged with row IPIV(i). +*> \endverbatim +*> +*> \param[in,out] B +*> \verbatim +*> B is COMPLEX*16 array, dimension (LDB,NRHS) +*> On entry, the N-by-NRHS matrix of right hand side matrix B. +*> On exit, if INFO = 0, the N-by-NRHS solution matrix 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 = -i, the i-th argument had an illegal value +*> > 0: if INFO = i, U(i,i) is exactly zero. The factorization +*> has been completed, but the factor U is exactly +*> singular, so the solution could not be computed. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16GEsolve +* +* ===================================================================== SUBROUTINE ZGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO ) * -* -- LAPACK driver routine (version 3.2) -- +* -- LAPACK driver 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, LDB, N, NRHS @@ -13,57 +135,6 @@ COMPLEX*16 A( LDA, * ), B( LDB, * ) * .. * -* Purpose -* ======= -* -* ZGESV computes the solution to a complex system of linear equations -* A * X = B, -* where A is an N-by-N matrix and X and B are N-by-NRHS matrices. -* -* The LU decomposition with partial pivoting and row interchanges is -* used to factor A as -* A = P * L * U, -* where P is a permutation matrix, L is unit lower triangular, and U is -* upper triangular. The factored form of A is then used to solve the -* system of equations A * X = B. -* -* Arguments -* ========= -* -* N (input) INTEGER -* The number of linear equations, i.e., the order of the -* 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. -* -* A (input/output) COMPLEX*16 array, dimension (LDA,N) -* On entry, the N-by-N coefficient matrix A. -* On exit, the factors L and U from the factorization -* A = P*L*U; the unit diagonal elements of L are not stored. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* IPIV (output) INTEGER array, dimension (N) -* The pivot indices that define the permutation matrix P; -* row i of the matrix was interchanged with row IPIV(i). -* -* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) -* On entry, the N-by-NRHS matrix of right hand side matrix B. -* On exit, if INFO = 0, the N-by-NRHS solution matrix X. -* -* LDB (input) INTEGER -* The leading dimension of the array B. LDB >= max(1,N). -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: if INFO = i, U(i,i) is exactly zero. The factorization -* has been completed, but the factor U is exactly -* singular, so the solution could not be computed. -* * ===================================================================== * * .. External Subroutines ..