Sparse BLAS 2, using some dense BLAS 2 operations. More...
#include "slu_cdefs.h"
Include dependency graph for csp_blas2.c:
Functions | |
| void | cusolve (int, int, complex *, complex *) |
| Solves a dense upper triangular system. More... | |
| void | clsolve (int, int, complex *, complex *) |
| Solves a dense UNIT lower triangular system. More... | |
| void | cmatvec (int, int, int, complex *, complex *, complex *) |
| Performs a dense matrix-vector multiply: Mxvec = Mxvec + M * vec. More... | |
| int | sp_ctrsv (char *uplo, char *trans, char *diag, SuperMatrix *L, SuperMatrix *U, complex *x, SuperLUStat_t *stat, int *info) |
| Solves one of the systems of equations A*x = b, or A'*x = b. More... | |
| int | sp_cgemv (char *trans, complex alpha, SuperMatrix *A, complex *x, int incx, complex beta, complex *y, int incy) |
| Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y. More... | |
Detailed Description
Copyright (c) 2003, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from U.S. Dept. of Energy)
All rights reserved.
The source code is distributed under BSD license, see the file License.txt at the top-level directory.
– SuperLU routine (version 5.1) – Univ. of California Berkeley, Xerox Palo Alto Research Center, and Lawrence Berkeley National Lab. October 15, 2003
Last update: December 3, 2015
Function Documentation
The unit lower triangular matrix is stored in a 2D array M(1:nrow,1:ncol). The solution will be returned in the rhs vector.
The input matrix is M(1:nrow,1:ncol); The product is returned in Mxvec[].
The upper triangular matrix is stored in a 2-dim array M(1:ldm,1:ncol). The solution will be returned in the rhs vector.
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| int sp_cgemv | ( | char * | trans, |
| complex | alpha, | ||
| SuperMatrix * | A, | ||
| complex * | x, | ||
| int | incx, | ||
| complex | beta, | ||
| complex * | y, | ||
| int | incy | ||
| ) |
Purpose
sp_cgemv() performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, where alpha and beta are scalars, x and y are vectors and A is a sparse A->nrow by A->ncol matrix.
Parameters
TRANS - (input) char*
On entry, TRANS specifies the operation to be performed as
follows:
TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
TRANS = 'C' or 'c' y := alpha*A^H*x + beta*y. ALPHA - (input) complex
On entry, ALPHA specifies the scalar alpha. A - (input) SuperMatrix*
Before entry, the leading m by n part of the array A must
contain the matrix of coefficients. X - (input) complex*, array of DIMENSION at least
( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
and at least
( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
Before entry, the incremented array X must contain the
vector x. INCX - (input) int
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero. BETA - (input) complex
On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then Y need not be set on input. Y - (output) complex*, array of DIMENSION at least
( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
and at least
( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
Before entry with BETA non-zero, the incremented array Y
must contain the vector y. On exit, Y is overwritten by the
updated vector y. INCY - (input) int
On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero.==== Sparse Level 2 Blas routine.
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| int sp_ctrsv | ( | char * | uplo, |
| char * | trans, | ||
| char * | diag, | ||
| SuperMatrix * | L, | ||
| SuperMatrix * | U, | ||
| complex * | x, | ||
| SuperLUStat_t * | stat, | ||
| int * | info | ||
| ) |
Purpose
sp_ctrsv() solves one of the systems of equations A*x = b, or A'*x = b, where b and x are n element vectors and A is a sparse unit , or non-unit, upper or lower triangular matrix. No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine.
Parameters
uplo - (input) char*
On entry, uplo specifies whether the matrix is an upper or
lower triangular matrix as follows:
uplo = 'U' or 'u' A is an upper triangular matrix.
uplo = 'L' or 'l' A is a lower triangular matrix. trans - (input) char*
On entry, trans specifies the equations to be solved as
follows:
trans = 'N' or 'n' A*x = b.
trans = 'T' or 't' A'*x = b.
trans = 'C' or 'c' A^H*x = b. diag - (input) char*
On entry, diag specifies whether or not A is unit
triangular as follows:
diag = 'U' or 'u' A is assumed to be unit triangular.
diag = 'N' or 'n' A is not assumed to be unit
triangular. L - (input) SuperMatrix*
The factor L from the factorization Pr*A*Pc=L*U. Use
compressed row subscripts storage for supernodes,
i.e., L has types: Stype = SC, Dtype = SLU_C, Mtype = TRLU. U - (input) SuperMatrix*
The factor U from the factorization Pr*A*Pc=L*U.
U has types: Stype = NC, Dtype = SLU_C, Mtype = TRU. x - (input/output) complex*
Before entry, the incremented array X must contain the n
element right-hand side vector b. On exit, X is overwritten
with the solution vector x. info - (output) int*
If *info = -i, the i-th argument had an illegal value.
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