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<meta content="text/html;charset=UTF-8" http-equiv="Content-Type">
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<title>SuperLU: SRC/csp_blas2.c File Reference</title>
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Main Page
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Data Structures
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Files
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SRC/csp_blas2.c File ReferenceSparse BLAS 2, using some dense BLAS 2 operations. More...
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#include "slu_cdefs.h"
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Functions
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void cusolve (int, int, complex *, complex *)
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Solves a dense upper triangular system.
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void clsolve (int, int, complex *, complex *)
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Solves a dense UNIT lower triangular system.
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void cmatvec (int, int, int, complex *, complex *, complex *)
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Performs a dense matrix-vector multiply: Mxvec = Mxvec + M * vec.
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int sp_ctrsv (char *uplo, char *trans, char *diag, SuperMatrix *L, SuperMatrix *U, complex *x, SuperLUStat_t *stat, int *info)
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Solves one of the systems of equations A*x = b, or A'*x = b.
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int sp_cgemv (char *trans, complex alpha, SuperMatrix *A, complex *x, int incx, complex beta, complex *y, int incy)
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Performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y.
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Detailed Description
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-- SuperLU routine (version 3.0) --
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Univ. of California Berkeley, Xerox Palo Alto Research Center,
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and Lawrence Berkeley National Lab.
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October 15, 2003
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Function Documentation
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void clsolve
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(
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int
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ldm,
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int
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ncol,
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complex *
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M,
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complex *
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rhs
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)
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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.
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void cmatvec
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(
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int
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ldm,
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int
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nrow,
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int
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ncol,
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complex *
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M,
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complex *
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vec,
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complex *
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Mxvec
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)
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The input matrix is M(1:nrow,1:ncol); The product is returned in Mxvec[].
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void cusolve
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(
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int
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ldm,
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int
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ncol,
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complex *
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M,
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complex *
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rhs
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)
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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
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(
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char *
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trans,
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complex
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alpha,
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SuperMatrix *
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A,
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complex *
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x,
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int
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incx,
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complex
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beta,
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complex *
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y,
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int
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incy
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)
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Purpose
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=======
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sp_cgemv() performs one of the matrix-vector operations
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y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
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where alpha and beta are scalars, x and y are vectors and A is a
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sparse A->nrow by A->ncol matrix.
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Parameters
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==========
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TRANS - (input) char*
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On entry, TRANS specifies the operation to be performed as
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follows:
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TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
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TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
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TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
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ALPHA - (input) complex
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On entry, ALPHA specifies the scalar alpha.
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A - (input) SuperMatrix*
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Before entry, the leading m by n part of the array A must
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contain the matrix of coefficients.
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X - (input) complex*, array of DIMENSION at least
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( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
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and at least
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( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
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Before entry, the incremented array X must contain the
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vector x.
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INCX - (input) int
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On entry, INCX specifies the increment for the elements of
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X. INCX must not be zero.
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BETA - (input) complex
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On entry, BETA specifies the scalar beta. When BETA is
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supplied as zero then Y need not be set on input.
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Y - (output) complex*, array of DIMENSION at least
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( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
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and at least
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( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
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Before entry with BETA non-zero, the incremented array Y
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must contain the vector y. On exit, Y is overwritten by the
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updated vector y.
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INCY - (input) int
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On entry, INCY specifies the increment for the elements of
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Y. INCY must not be zero.
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==== Sparse Level 2 Blas routine.
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int sp_ctrsv
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(
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char *
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uplo,
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char *
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trans,
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char *
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diag,
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SuperMatrix *
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L,
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SuperMatrix *
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U,
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complex *
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x,
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SuperLUStat_t *
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stat,
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int *
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info
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)
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Purpose
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=======
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sp_ctrsv() solves one of the systems of equations
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A*x = b, or A'*x = b,
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where b and x are n element vectors and A is a sparse unit , or
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non-unit, upper or lower triangular matrix.
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No test for singularity or near-singularity is included in this
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routine. Such tests must be performed before calling this routine.
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Parameters
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==========
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uplo - (input) char*
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On entry, uplo specifies whether the matrix is an upper or
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lower triangular matrix as follows:
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uplo = 'U' or 'u' A is an upper triangular matrix.
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uplo = 'L' or 'l' A is a lower triangular matrix.
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trans - (input) char*
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On entry, trans specifies the equations to be solved as
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follows:
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trans = 'N' or 'n' A*x = b.
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trans = 'T' or 't' A'*x = b.
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trans = 'C' or 'c' A^H*x = b.
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diag - (input) char*
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On entry, diag specifies whether or not A is unit
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triangular as follows:
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diag = 'U' or 'u' A is assumed to be unit triangular.
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diag = 'N' or 'n' A is not assumed to be unit
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triangular.
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L - (input) SuperMatrix*
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The factor L from the factorization Pr*A*Pc=L*U. Use
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compressed row subscripts storage for supernodes,
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i.e., L has types: Stype = SC, Dtype = SLU_C, Mtype = TRLU.
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U - (input) SuperMatrix*
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The factor U from the factorization Pr*A*Pc=L*U.
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U has types: Stype = NC, Dtype = SLU_C, Mtype = TRU.
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x - (input/output) complex*
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Before entry, the incremented array X must contain the n
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element right-hand side vector b. On exit, X is overwritten
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with the solution vector x.
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info - (output) int*
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If *info = -i, the i-th argument had an illegal value.
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<address style="text-align: right;"><small>Generated on Mon Nov 22 10:23:47 2010 for SuperLU by </small></address>
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1.5.5
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