Section: LAPACK routine (version 1.5) (l)Updated: 12 May 1997Local indexUp

NAME

PCPBTRF - compute a Cholesky factorization of an N-by-N complex banded symmetric positive definite distributed matrix with bandwidth BW

SYNOPSIS

SUBROUTINE PCPBTRF(

UPLO, N, BW, A, JA, DESCA, AF, LAF, WORK,
LWORK, INFO )

CHARACTER
UPLO

INTEGER
BW, INFO, JA, LAF, LWORK, N

INTEGER
DESCA( * )

COMPLEX
A( * ), AF( * ), WORK( * )

PURPOSE

PCPBTRF computes a Cholesky factorization
of an N-by-N complex banded
symmetric positive definite distributed matrix
with bandwidth BW: A(1:N, JA:JA+N-1).
Reordering is used to increase parallelism in the factorization.
This reordering results in factors that are DIFFERENT from those
produced by equivalent sequential codes. These factors cannot
be used directly by users; however, they can be used in
subsequent calls to PCPBTRS to solve linear systems.

The factorization has the form

P A(1:N, JA:JA+N-1) P^T = U' U , if UPLO = 'U', or

P A(1:N, JA:JA+N-1) P^T = L L', if UPLO = 'L'

where U is a banded upper triangular matrix and L is banded
lower triangular, and P is a permutation matrix.