ZPTTRS(l) LAPACK routine (version 1.1) ZPTTRS(l)
NAME
ZPTTRS - solve a system of linear equations A * X = B with a Hermitian
positive definite tridiagonal matrix A using the factorization A = U**H*D*U
or A = L*D*L**H computed by ZPTTRF
SYNOPSIS
SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO )
CHARACTER UPLO
INTEGER INFO, LDB, N, NRHS
DOUBLE PRECISION D( * )
COMPLEX*16 B( LDB, * ), E( * )
PURPOSE
ZPTTRS solves a system of linear equations A * X = B with a Hermitian posi-
tive definite tridiagonal matrix A using the factorization A = U**H*D*U or
A = L*D*L**H computed by ZPTTRF.
ARGUMENTS
UPLO (input) CHARACTER*1
Specifies whether the superdiagonal or the subdiagonal of the tri-
diagonal matrix A is stored and the form of the factorization:
= 'U': E is the superdiagonal of U, and A = U'*D*U;
= 'L': E is the subdiagonal of L, and A = L*D*L'. (The two forms
are equivalent if A is real.)
N (input) INTEGER
The order of the tridiagonal matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns of the
matrix B. NRHS >= 0.
D (input) DOUBLE PRECISION array, dimension (N)
The n diagonal elements of the diagonal matrix D from the factori-
zation computed by ZPTTRF.
E (input) COMPLEX*16 array, dimension (N-1)
The (n-1) off-diagonal elements of the unit bidiagonal factor U or
L from the factorization computed by ZPTTRF (see UPLO).
B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the right hand side matrix B. On exit, the solution
matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
Back to the listing of computational routines for linear equations