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# Manual Reference Pages  -  PDPBTRSV (l)

### NAME

PDPBTRSV - solve a banded triangular system of linear equations A(1:N, JA:JA+N-1) * X = B(IB:IB+N-1, 1:NRHS)

Synopsis
Purpose

### SYNOPSIS

 SUBROUTINE PDPBTRSV( UPLO, TRANS, N, BW, NRHS, A, JA, DESCA, B, IB, DESCB, AF, LAF, WORK, LWORK, INFO ) CHARACTER TRANS, UPLO INTEGER BW, IB, INFO, JA, LAF, LWORK, N, NRHS INTEGER DESCA( * ), DESCB( * ) DOUBLE PRECISION A( * ), AF( * ), B( * ), WORK( * )

### PURPOSE

PDPBTRSV solves a banded triangular system of linear equations A(1:N, JA:JA+N-1) * X = B(IB:IB+N-1, 1:NRHS) or
A(1:N, JA:JA+N-1)^T * X = B(IB:IB+N-1, 1:NRHS)

where A(1:N, JA:JA+N-1) is a banded
triangular matrix factor produced by the
Cholesky factorization code PDPBTRF
and is stored in A(1:N,JA:JA+N-1) and AF.
The matrix stored in A(1:N, JA:JA+N-1) is either
upper or lower triangular according to UPLO,
and the choice of solving A(1:N, JA:JA+N-1) or A(1:N, JA:JA+N-1)^T is dictated by the user by the parameter TRANS.

Routine PDPBTRF MUST be called first.

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 ScaLAPACK version 1.7 PDPBTRSV (l) 13 August 2001

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