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A study of sparse matrix representations for solving linear systems in a functional language

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

Roger L. Wainwright  and
Marian E. Sexton
Roger L. Wainwright
Affiliation:
Department of Mathematical and Computer Sciences, The University of Tulsa, 600 South College Avenue, Tulsa, OK 74104–3189, USA
Marian E. Sexton
Affiliation:
Amoco Production Company, Research Center, P.O. Box 3385, Tulsa, OK 74102, USA
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Abstract

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This paper compares three different sparse matrix representations in Miranda for solving linear systems of equations: quadtrees, binary trees and run-length encoding. It compares the three data structures in each of two common linear system solvers, Conjugate Gradient and SOR. The test problems used in the paper arise from a simple reservoir model.

Type
Articles
Information
Journal of Functional Programming , Volume 2 , Issue 1 , January 1992 , pp. 61 - 72
Copyright
Copyright © Cambridge University Press 1992

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