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Sparse matrix representations in a functional language

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

P. W. Grant ,
J. A. Sharp ,
M. F. Webster  and
X. Zhang
P. W. Grant
Affiliation:
Department of Computer Science, University of Wales, Swansea, Swansea SA2 8PP, UK
J. A. Sharp
Affiliation:
Department of Computer Science, University of Wales, Swansea, Swansea SA2 8PP, UK
M. F. Webster
Affiliation:
Department of Computer Science, University of Wales, Swansea, Swansea SA2 8PP, UK
X. Zhang
Affiliation:
Department of Computer Science, University of Wales, Swansea, Swansea SA2 8PP, UK
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Abstract

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This paper investigates several sparse matrix representation schemes and associated algorithms in Haskell for solving linear systems of equations arising from solving realistic computational fluid dynamics problems using a finite element algorithm. This work complements that of Wainwright and Sexton (1992) in that a Choleski direct solver (with an emphasis on its forward/backward substitution steps) is examined. Experimental evidence comparing time and space efficiency of these matrix representation schemes is reported, together with associated forward/backward substitution implementations. Our results are in general agreement with Wainwright and Sexton's.

Type
Articles
Information
Journal of Functional Programming , Volume 6 , Issue 1 , January 1996 , pp. 143 - 170
Copyright
Copyright © Cambridge University Press 1996

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