table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztpsv.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztpsv.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/BLAS/SRC/ztpsv.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZTPSV (uplo, trans, diag, n, ap, x, incx)
ZTPSV
Function/Subroutine Documentation¶
subroutine ZTPSV (character uplo, character trans, character diag, integer n, complex*16, dimension(*) ap, complex*16, dimension(*) x, integer incx)¶
ZTPSV
Purpose:
!> !> ZTPSV 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, supplied in packed form. !> !> 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. !>
AP
!> AP is COMPLEX*16 array, dimension at least !> ( ( n*( n + 1 ) )/2 ). !> Before entry with UPLO = 'U' or 'u', the array AP must !> contain the upper triangular matrix packed sequentially, !> column by column, so that AP( 1 ) contains a( 1, 1 ), !> AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) !> respectively, and so on. !> Before entry with UPLO = 'L' or 'l', the array AP must !> contain the lower triangular matrix packed sequentially, !> column by column, so that AP( 1 ) contains a( 1, 1 ), !> AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) !> respectively, and so on. !> Note that when DIAG = 'U' or 'u', the diagonal elements of !> A are not referenced, but are assumed to be unity. !>
X
!> X is COMPLEX*16 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 143 of file ztpsv.f.
Author¶
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