table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ctrsv.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ctrsv.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ctrsv.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CTRSV (uplo, trans, diag, n, a, lda, x, incx)
CTRSV
Function/Subroutine Documentation¶
subroutine CTRSV (character uplo, character trans, character diag, integer n, complex, dimension(lda,*) a, integer lda, complex, dimension(*) x, integer incx)¶
CTRSV
Purpose:
!> !> CTRSV solves one of the systems of equations !> !> A*x = b, or A**T*x = b, or A**H*x = b, !> !> where b and x are n element vectors and A is an n by n 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
!> UPLO is CHARACTER*1 !> 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
!> TRANS is CHARACTER*1 !> On entry, TRANS specifies the equations to be solved as !> follows: !> !> TRANS = 'N' or 'n' A*x = b. !> !> TRANS = 'T' or 't' A**T*x = b. !> !> TRANS = 'C' or 'c' A**H*x = b. !>
DIAG
!> DIAG is CHARACTER*1 !> 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. !>
N
!> N is INTEGER !> On entry, N specifies the order of the matrix A. !> N must be at least zero. !>
A
!> A is COMPLEX array, dimension ( LDA, N ) !> Before entry with UPLO = 'U' or 'u', the leading n by n !> upper triangular part of the array A must contain the upper !> triangular matrix and the strictly lower triangular part of !> A is not referenced. !> Before entry with UPLO = 'L' or 'l', the leading n by n !> lower triangular part of the array A must contain the lower !> triangular matrix and the strictly upper triangular part of !> A is not referenced. !> Note that when DIAG = 'U' or 'u', the diagonal elements of !> A are not referenced either, but are assumed to be unity. !>
LDA
!> LDA is INTEGER !> On entry, LDA specifies the first dimension of A as declared !> in the calling (sub) program. LDA must be at least !> max( 1, n ). !>
X
!> X is COMPLEX array, dimension at least !> ( 1 + ( n - 1 )*abs( INCX ) ). !> 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. !>
INCX
!> INCX is INTEGER !> On entry, INCX specifies the increment for the elements of !> X. INCX must not be zero. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> Level 2 Blas routine. !> !> -- Written on 22-October-1986. !> Jack Dongarra, Argonne National Lab. !> Jeremy Du Croz, Nag Central Office. !> Sven Hammarling, Nag Central Office. !> Richard Hanson, Sandia National Labs. !>
Definition at line 148 of file ctrsv.f.
Author¶
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