The Parallel Solution of Systems of Linear Equations using Iterative Methods on Transputer Networks

da Cunha, Rudnei Dias and Hopkins, Tim (1992) The Parallel Solution of Systems of Linear Equations using Iterative Methods on Transputer Networks. Technical report. , University of Kent, Canterbury, UK (Full text available)

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Abstract

We present a study of the implementational aspects of iterative methods to solve systems of linear equations on a transputer network. Both dense and sparse systems are considered. First we discuss the implementation of a set of distributed linear algebra subroutines which are used as building blocks for implementing the iterative methods. We show that the use of loop-unrolling significantly increases the efficiency of these implementations. The effect of the sparsity of the matrices on the performance is analysed. Finally, serial and parallel implementations of a polynomial preconditioned Conjugate Gradient method are presented.

Item Type: Monograph (Technical report)
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Systems Architecture Group
Depositing User: Mark Wheadon
Date Deposited: 25 Mar 2010 22:30
Last Modified: 04 May 2012 15:39
Resource URI: http://kar.kent.ac.uk/id/eprint/21053 (The current URI for this page, for reference purposes)
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