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2008

A Parallel Processing Architecture for Solving Large-Scale Linear Systems

8 years 4 months ago
A Parallel Processing Architecture for Solving Large-Scale Linear Systems
Solving linear systems with a large number of variables is at the core of many scienti c problems. Parallel processing techniques for solving such systems have received much attention in recent years. A pivotal theme in the literature pertains to the application of LU decomposing which factorizes an N N square matrix into two triangular matrices so that the resulting linear system can be more easily solved in O(N2 ) work. Inherently, the computational complexity of LU decomposition is O(N3 ). Moreover, it is a process that is challenging to parallelize. In this paper, we propose a highly-parallel methodology for solving large-scale dense linear systems by means of a novel application of Cramer's Rule. A numerically stable scheme is described, yielding an overall computational complexity of O(N) with N2 processing units.
Arun Nagari, Itamar Elhanany, Ben Thompson, Fangxi
Added 30 Oct 2010
Updated 30 Oct 2010
Type Conference
Year 2008
Where PDPTA
Authors Arun Nagari, Itamar Elhanany, Ben Thompson, Fangxing Li, Thomas King
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