NAME¶

PDPTTRF - compute a Cholesky factorization of an N-by-N real tridiagonal symmetric positive definite distributed matrix A(1:N, JA:JA+N-1)

SYNOPSIS¶

SUBROUTINE PDPTTRF(

N, D, E, JA, DESCA, AF, LAF, WORK, LWORK, INFO )

INTEGER INFO, JA, LAF, LWORK, N INTEGER DESCA( * ) DOUBLE PRECISION AF( * ), D( * ), E( * ), WORK( * )

PURPOSE¶

PDPTTRF computes a Cholesky factorization of an N-by-N real tridiagonal symmetric positive definite distributed matrix 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 PDPTTRS to solve linear systems.

The factorization has the form

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

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

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