man pspbtrf (Fonctions bibliothèques) - compute a Cholesky factorization of an N-by-N real banded symmetric positive definite distributed matrix with bandwidth BW
NAME
PSPBTRF - compute a Cholesky factorization of an N-by-N real banded symmetric positive definite distributed matrix with bandwidth BW
SYNOPSIS
- SUBROUTINE PSPBTRF(
- UPLO, N, BW, A, JA, DESCA, AF, LAF, WORK, LWORK, INFO )
- CHARACTER UPLO
- INTEGER BW, INFO, JA, LAF, LWORK, N
- INTEGER DESCA( * )
- REAL A( * ), AF( * ), WORK( * )
PURPOSE
PSPBTRF 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 PSPBTRS 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.