.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\&.