SRC/zptsv.f(3) | Library Functions Manual | SRC/zptsv.f(3) |
NAME
SRC/zptsv.f
SYNOPSIS
Functions/Subroutines
subroutine zptsv (n, nrhs, d, e, b, ldb, info)
ZPTSV computes the solution to system of linear equations A * X = B for PT
matrices
Function/Subroutine Documentation
subroutine zptsv (integer n, integer nrhs, double precision, dimension( * ) d, complex*16, dimension( * ) e, complex*16, dimension( ldb, * ) b, integer ldb, integer info)
ZPTSV computes the solution to system of linear equations A * X = B for PT matrices
Purpose:
!> !> ZPTSV computes the solution to a complex system of linear equations !> A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal !> matrix, and X and B are N-by-NRHS matrices. !> !> A is factored as A = L*D*L**H, and the factored form of A is then !> used to solve the system of equations. !>
Parameters
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of columns !> of the matrix B. NRHS >= 0. !>
D
!> D is DOUBLE PRECISION array, dimension (N) !> On entry, the n diagonal elements of the tridiagonal matrix !> A. On exit, the n diagonal elements of the diagonal matrix !> D from the factorization A = L*D*L**H. !>
E
!> E is COMPLEX*16 array, dimension (N-1) !> On entry, the (n-1) subdiagonal elements of the tridiagonal !> matrix A. On exit, the (n-1) subdiagonal elements of the !> unit bidiagonal factor L from the L*D*L**H factorization of !> A. E can also be regarded as the superdiagonal of the unit !> bidiagonal factor U from the U**H*D*U factorization of A. !>
B
!> B is COMPLEX*16 array, dimension (LDB,NRHS) !> On entry, the N-by-NRHS right hand side matrix B. !> On exit, if INFO = 0, the N-by-NRHS solution matrix X. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> > 0: if INFO = i, the leading principal minor of order i !> is not positive, and the solution has not been !> computed. The factorization has not been completed !> unless i = N. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 114 of file zptsv.f.
Author
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