--- rpl/lapack/lapack/zgbtrs.f 2010/12/21 13:53:42 1.7 +++ rpl/lapack/lapack/zgbtrs.f 2011/11/21 20:43:08 1.8 @@ -1,10 +1,147 @@ +*> \brief \b ZGBTRS +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZGBTRS + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, +* INFO ) +* +* .. Scalar Arguments .. +* CHARACTER TRANS +* INTEGER INFO, KL, KU, LDAB, LDB, N, NRHS +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* COMPLEX*16 AB( LDAB, * ), B( LDB, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZGBTRS solves a system of linear equations +*> A * X = B, A**T * X = B, or A**H * X = B +*> with a general band matrix A using the LU factorization computed +*> by ZGBTRF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] TRANS +*> \verbatim +*> TRANS is CHARACTER*1 +*> Specifies the form of the system of equations. +*> = 'N': A * X = B (No transpose) +*> = 'T': A**T * X = B (Transpose) +*> = 'C': A**H * X = B (Conjugate transpose) +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] KL +*> \verbatim +*> KL is INTEGER +*> The number of subdiagonals within the band of A. KL >= 0. +*> \endverbatim +*> +*> \param[in] KU +*> \verbatim +*> KU is INTEGER +*> The number of superdiagonals within the band of A. KU >= 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] AB +*> \verbatim +*> AB is COMPLEX*16 array, dimension (LDAB,N) +*> Details of the LU factorization of the band matrix A, as +*> computed by ZGBTRF. U is stored as an upper triangular band +*> matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and +*> the multipliers used during the factorization are stored in +*> rows KL+KU+2 to 2*KL+KU+1. +*> \endverbatim +*> +*> \param[in] LDAB +*> \verbatim +*> LDAB is INTEGER +*> The leading dimension of the array AB. LDAB >= 2*KL+KU+1. +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> The pivot indices; for 1 <= i <= N, 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 right hand side matrix B. +*> On exit, the 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 +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16GBcomputational +* +* ===================================================================== SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, $ INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK computational 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 .. CHARACTER TRANS @@ -15,61 +152,6 @@ COMPLEX*16 AB( LDAB, * ), B( LDB, * ) * .. * -* Purpose -* ======= -* -* ZGBTRS solves a system of linear equations -* A * X = B, A**T * X = B, or A**H * X = B -* with a general band matrix A using the LU factorization computed -* by ZGBTRF. -* -* Arguments -* ========= -* -* TRANS (input) CHARACTER*1 -* Specifies the form of the system of equations. -* = 'N': A * X = B (No transpose) -* = 'T': A**T * X = B (Transpose) -* = 'C': A**H * X = B (Conjugate transpose) -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* KL (input) INTEGER -* The number of subdiagonals within the band of A. KL >= 0. -* -* KU (input) INTEGER -* The number of superdiagonals within the band of A. KU >= 0. -* -* NRHS (input) INTEGER -* The number of right hand sides, i.e., the number of columns -* of the matrix B. NRHS >= 0. -* -* AB (input) COMPLEX*16 array, dimension (LDAB,N) -* Details of the LU factorization of the band matrix A, as -* computed by ZGBTRF. U is stored as an upper triangular band -* matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and -* the multipliers used during the factorization are stored in -* rows KL+KU+2 to 2*KL+KU+1. -* -* LDAB (input) INTEGER -* The leading dimension of the array AB. LDAB >= 2*KL+KU+1. -* -* IPIV (input) INTEGER array, dimension (N) -* The pivot indices; for 1 <= i <= N, row i of the matrix was -* interchanged with row IPIV(i). -* -* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) -* On entry, the right hand side matrix B. -* On exit, the 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 -* * ===================================================================== * * .. Parameters ..