Provided by: scalapack-doc_1.5-11_all 

NAME
PCGBTRF - compute a LU factorization of an N-by-N complex banded distributed matrix with bandwidth BWL,
BWU
SYNOPSIS
SUBROUTINE PCGBTRF( N, BWL, BWU, A, JA, DESCA, IPIV, AF, LAF, WORK, LWORK, INFO )
INTEGER BWL, BWU, INFO, JA, LAF, LWORK, N
INTEGER DESCA( * ), IPIV( * )
COMPLEX A( * ), AF( * ), WORK( * )
PURPOSE
PCGBTRF computes a LU factorization of an N-by-N complex 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 PCGBTRS 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 PCGBTRF(l)