 |
LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
|
|
LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
|
| 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
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. | [in] | 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. |
| [in] | 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. |
| [in] | 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 |
| [in] | 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) |
| [in] | M | M is INTEGER
The number or rows of the matrix A. M >= 0. |
| [in] | N | N is INTEGER
The number of columns of the matrix A. N >= 0. |
| [in] | 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. |
| [in] | 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 |
| [in] | NRHS | NRHS is INTEGER
The number of right hand side vectors in the system A*X = B. |
| [in] | A | A is REAL array, dimension (LDA,N)
The test matrix whose type is given by PATH. |
| [in] | 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). |
| [in,out] | 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. |
| [in] | 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). |
| [out] | 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. |
| [in] | 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). |
| [in,out] | ISEED | ISEED is INTEGER array, dimension (4)
The seed vector for the random number generator (used in
SLATMS). Modified on exit. |
| [out] | INFO | INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value |
Definition at line 203 of file slarhs.f.
1.9.7