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Cite Details

Travis Austin, Markus Berndt and David Moulton, "A memory efficient parallel tridiagonal solver", Preprint LA-UR-03-4149, 2004

Abstract

We present a memory efficient parallel algorithm for the solution of tridiagonal linear systems of equations that are diagonally dominant on a very large number of processors. Our algorithm can be viewed as a parallel partitioning algorithm. We illustrate its performance using some examples. Based on this partitioning algorithm, we introduce a recursive version that has logarithmic communication complexity.

BibTeX Entry

@unpublished{austin-2004-linesolver,
author = {Travis Austin and Markus Berndt and David Moulton},
title = {A memory efficient parallel tridiagonal solver},
year = {2004},
urlpdf = {http://math.lanl.gov/~berndt/Papers/parallel-line-solver.pdf},
urlps = {http://math.lanl.gov/~berndt/Papers/parallel-line-solver.ps},
note = {Preprint LA-UR-03-4149}
}