debian man page for pdgbtrf

PDGBTRF(l)						   LAPACK routine (version 1.5) 						PDGBTRF(l)

NAME
       PDGBTRF - compute a LU factorization of an N-by-N real banded distributed matrix with bandwidth BWL, BWU

SYNOPSIS
       SUBROUTINE PDGBTRF( N, BWL, BWU, A, JA, DESCA, IPIV, AF, LAF, WORK, LWORK, INFO )

	   INTEGER	   BWL, BWU, INFO, JA, LAF, LWORK, N

	   INTEGER	   DESCA( * ), IPIV( * )

	   DOUBLE	   PRECISION A( * ), AF( * ), WORK( * )

PURPOSE
       PDGBTRF	computes a LU factorization of an N-by-N real banded distributed matrix with bandwidth BWL, BWU: 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 PDGBTRS to solve linear systems.

       The factorization has the form

	       P A(1:N, JA:JA+N-1) Q = L U

       where U is a banded upper triangular matrix and L is banded lower triangular, and P and Q are permutation matrices.
       The matrix Q represents reordering of columns
       for parallelism's sake, while P represents
       reordering of rows for numerical stability using
       classic partial pivoting.

LAPACK version 1.5						    12 May 1997 							PDGBTRF(l)