slarhs.f3
Usage
Functions/Subroutines
subroutine slarhs (path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Function/Subroutine Documentation
subroutine slarhs (character*3 path, character xtype, character uplo, character trans, integer m, integer n, integer kl, integer ku, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b, integer ldb, integer, dimension( 4 ) iseed, integer info)
SLARHS
Purpose:
!> !> SLARHS chooses a set of NRHS random solution vectors and sets !> up the right hand sides for the linear system !> op(A) * X = B, !> where op(A) = A or A**T, depending on TRANS. !>
Parameters
PATH
!> PATH is CHARACTER*3 !> The type of the real matrix A. PATH may be given in any !> combination of upper and lower case. Valid types include !> xGE: General m x n matrix !> xGB: General banded matrix !> xPO: Symmetric positive definite, 2-D storage !> xPP: Symmetric positive definite packed !> xPB: Symmetric positive definite banded !> xSY: Symmetric indefinite, 2-D storage !> xSP: Symmetric indefinite packed !> xSB: Symmetric indefinite banded !> xTR: Triangular !> xTP: Triangular packed !> xTB: Triangular banded !> xQR: General m x n matrix !> xLQ: General m x n matrix !> xQL: General m x n matrix !> xRQ: General m x n matrix !> where the leading character indicates the precision. !>
XTYPE
!> XTYPE is CHARACTER*1 !> Specifies how the exact solution X will be determined: !> = 'N': New solution; generate a random X. !> = 'C': Computed; use value of X on entry. !>
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the upper or lower triangular part of the !> matrix A is stored, if A is symmetric. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
TRANS
!> TRANS is CHARACTER*1 !> Used only if A is nonsymmetric; specifies the operation !> applied to the matrix A. !> = 'N': B := A * X (No transpose) !> = 'T': B := A**T * X (Transpose) !> = 'C': B := A**H * X (Conjugate transpose = Transpose) !>
M
!> M is INTEGER !> The number or rows of the matrix A. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix A. N >= 0. !>
KL
!> KL is INTEGER !> Used only if A is a band matrix; specifies the number of !> subdiagonals of A if A is a general band matrix or if A is !> symmetric or triangular and UPLO = 'L'; specifies the number !> of superdiagonals of A if A is symmetric or triangular and !> UPLO = 'U'. 0 <= KL <= M-1. !>
KU
!> KU is INTEGER !> Used only if A is a general band matrix or if A is !> triangular. !> !> If PATH = xGB, specifies the number of superdiagonals of A, !> and 0 <= KU <= N-1. !> !> If PATH = xTR, xTP, or xTB, specifies whether or not the !> matrix has unit diagonal: !> = 1: matrix has non-unit diagonal (default) !> = 2: matrix has unit diagonal !>
NRHS
!> NRHS is INTEGER !> The number of right hand side vectors in the system A*X = B. !>
A
!> A is REAL array, dimension (LDA,N) !> The test matrix whose type is given by PATH. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. !> If PATH = xGB, LDA >= KL+KU+1. !> If PATH = xPB, xSB, xHB, or xTB, LDA >= KL+1. !> Otherwise, LDA >= max(1,M). !>
X
!> X is or output) REAL array, dimension(LDX,NRHS) !> On entry, if XTYPE = 'C' (for 'Computed'), then X contains !> the exact solution to the system of linear equations. !> On exit, if XTYPE = 'N' (for 'New'), then X is initialized !> with random values. !>
LDX
!> LDX is INTEGER !> The leading dimension of the array X. If TRANS = 'N', !> LDX >= max(1,N); if TRANS = 'T', LDX >= max(1,M). !>
B
!> B is REAL array, dimension (LDB,NRHS) !> The right hand side vector(s) for the system of equations, !> computed from B = op(A) * X, where op(A) is determined by !> TRANS. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. If TRANS = 'N', !> LDB >= max(1,M); if TRANS = 'T', LDB >= max(1,N). !>
ISEED
!> ISEED is INTEGER array, dimension (4) !> The seed vector for the random number generator (used in !> SLATMS). Modified on exit. !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 203 of file slarhs.f.