PDPBTRF(l) LAPACK routine (version 1.5) PDPBTRF(l)
NAME
PDPBTRF - compute a Cholesky factorization of an N-by-N real banded symmetric positive definite distributed matrix with bandwidth BW
SYNOPSIS
SUBROUTINE PDPBTRF( UPLO, N, BW, A, JA, DESCA, AF, LAF, WORK, LWORK, INFO )
CHARACTER UPLO
INTEGER BW, INFO, JA, LAF, LWORK, N
INTEGER DESCA( * )
DOUBLE PRECISION A( * ), AF( * ), WORK( * )
PURPOSE
PDPBTRF computes a Cholesky factorization of an N-by-N real 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 PDPBTRS 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.
LAPACK version 1.5 12 May 1997 PDPBTRF(l)
