.TH "TESTING/LIN/zlarhs.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/zlarhs.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzlarhs\fP (path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)" .br .RI "\fBZLARHS\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zlarhs (character*3 path, character xtype, character uplo, character trans, integer m, integer n, integer kl, integer ku, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, integer, dimension( 4 ) iseed, integer info)" .PP \fBZLARHS\fP .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZLARHS 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, A**T, or A**H, depending on TRANS\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIPATH\fP .PP .nf !> PATH is CHARACTER*3 !> The type of the complex matrix A\&. PATH may be given in any !> combination of upper and lower case\&. Valid paths include !> xGE: General m x n matrix !> xGB: General banded matrix !> xPO: Hermitian positive definite, 2-D storage !> xPP: Hermitian positive definite packed !> xPB: Hermitian positive definite banded !> xHE: Hermitian indefinite, 2-D storage !> xHP: Hermitian indefinite packed !> xHB: Hermitian indefinite 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\&. !> .fi .PP .br \fIXTYPE\fP .PP .nf !> 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\&. !> .fi .PP .br \fIUPLO\fP .PP .nf !> UPLO is CHARACTER*1 !> Used only if A is symmetric or triangular; specifies whether !> the upper or lower triangular part of the matrix A is stored\&. !> = 'U': Upper triangular !> = 'L': Lower triangular !> .fi .PP .br \fITRANS\fP .PP .nf !> 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) !> .fi .PP .br \fIM\fP .PP .nf !> M is INTEGER !> The number of rows of the matrix A\&. M >= 0\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The number of columns of the matrix A\&. N >= 0\&. !> .fi .PP .br \fIKL\fP .PP .nf !> 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\&. !> .fi .PP .br \fIKU\fP .PP .nf !> 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 !> .fi .PP .br \fINRHS\fP .PP .nf !> NRHS is INTEGER !> The number of right hand side vectors in the system A*X = B\&. !> .fi .PP .br \fIA\fP .PP .nf !> A is COMPLEX*16 array, dimension (LDA,N) !> The test matrix whose type is given by PATH\&. !> .fi .PP .br \fILDA\fP .PP .nf !> 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)\&. !> .fi .PP .br \fIX\fP .PP .nf !> X is or output) COMPLEX*16 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\&. !> .fi .PP .br \fILDX\fP .PP .nf !> LDX is INTEGER !> The leading dimension of the array X\&. If TRANS = 'N', !> LDX >= max(1,N); if TRANS = 'T', LDX >= max(1,M)\&. !> .fi .PP .br \fIB\fP .PP .nf !> B is COMPLEX*16 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\&. !> .fi .PP .br \fILDB\fP .PP .nf !> LDB is INTEGER !> The leading dimension of the array B\&. If TRANS = 'N', !> LDB >= max(1,M); if TRANS = 'T', LDB >= max(1,N)\&. !> .fi .PP .br \fIISEED\fP .PP .nf !> ISEED is INTEGER array, dimension (4) !> The seed vector for the random number generator (used in !> ZLATMS)\&. Modified on exit\&. !> .fi .PP .br \fIINFO\fP .PP .nf !> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB206\fP of file \fBzlarhs\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.