--- rpl/lapack/lapack/ztbtrs.f 2010/12/21 13:53:56 1.7 +++ rpl/lapack/lapack/ztbtrs.f 2011/11/21 20:43:22 1.8 @@ -1,10 +1,155 @@ +*> \brief \b ZTBTRS +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZTBTRS + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZTBTRS( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, +* LDB, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER DIAG, TRANS, UPLO +* INTEGER INFO, KD, LDAB, LDB, N, NRHS +* .. +* .. Array Arguments .. +* COMPLEX*16 AB( LDAB, * ), B( LDB, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZTBTRS solves a triangular system of the form +*> +*> A * X = B, A**T * X = B, or A**H * X = B, +*> +*> where A is a triangular band matrix of order N, and B is an +*> N-by-NRHS matrix. A check is made to verify that A is nonsingular. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> = 'U': A is upper triangular; +*> = 'L': A is lower triangular. +*> \endverbatim +*> +*> \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] DIAG +*> \verbatim +*> DIAG is CHARACTER*1 +*> = 'N': A is non-unit triangular; +*> = 'U': A is unit triangular. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] KD +*> \verbatim +*> KD is INTEGER +*> The number of superdiagonals or subdiagonals of the +*> triangular band matrix A. KD >= 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) +*> The upper or lower triangular band matrix A, stored in the +*> first kd+1 rows of AB. The j-th column of A is stored +*> in the j-th column of the array AB as follows: +*> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; +*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). +*> If DIAG = 'U', the diagonal elements of A are not referenced +*> and are assumed to be 1. +*> \endverbatim +*> +*> \param[in] LDAB +*> \verbatim +*> LDAB is INTEGER +*> The leading dimension of the array AB. LDAB >= KD+1. +*> \endverbatim +*> +*> \param[in,out] B +*> \verbatim +*> B is COMPLEX*16 array, dimension (LDB,NRHS) +*> On entry, the right hand side matrix B. +*> On exit, if INFO = 0, 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 +*> > 0: if INFO = i, the i-th diagonal element of A is zero, +*> indicating that the matrix is singular and the +*> solutions X have not been computed. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZTBTRS( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, 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 DIAG, TRANS, UPLO @@ -14,70 +159,6 @@ COMPLEX*16 AB( LDAB, * ), B( LDB, * ) * .. * -* Purpose -* ======= -* -* ZTBTRS solves a triangular system of the form -* -* A * X = B, A**T * X = B, or A**H * X = B, -* -* where A is a triangular band matrix of order N, and B is an -* N-by-NRHS matrix. A check is made to verify that A is nonsingular. -* -* Arguments -* ========= -* -* UPLO (input) CHARACTER*1 -* = 'U': A is upper triangular; -* = 'L': A is lower triangular. -* -* 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) -* -* DIAG (input) CHARACTER*1 -* = 'N': A is non-unit triangular; -* = 'U': A is unit triangular. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* KD (input) INTEGER -* The number of superdiagonals or subdiagonals of the -* triangular band matrix A. KD >= 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) -* The upper or lower triangular band matrix A, stored in the -* first kd+1 rows of AB. The j-th column of A is stored -* in the j-th column of the array AB as follows: -* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; -* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). -* If DIAG = 'U', the diagonal elements of A are not referenced -* and are assumed to be 1. -* -* LDAB (input) INTEGER -* The leading dimension of the array AB. LDAB >= KD+1. -* -* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) -* On entry, the right hand side matrix B. -* On exit, if INFO = 0, 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 -* > 0: if INFO = i, the i-th diagonal element of A is zero, -* indicating that the matrix is singular and the -* solutions X have not been computed. -* * ===================================================================== * * .. Parameters ..