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Nested Dissection: A survey and comparison of various (1992)

by Nested Dissection Algorithms ,  Manpreet S. Khaira ,  Gary L. Miller ,  Thomas J. Sheffler
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Abstract:

and iterative. Direct methods are methods based on gaussian elimination. This report discusses one such direct method namely Nested dissection. Nested Dissection, originally proposed by Alan George, is a technique for solving sparse linear systems efficiently. This report is a survey of some of the work in the area of nested dissection and attempts to put it together using a common framework.

Citations

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84 A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations – Rose - 1972
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20 Optimal tree contraction in an EREW model – Gazit, Miller, et al. - 1988
16 The use of linear graphs in Gaussian elimination – Parter - 1961
14 Graph Separator Theorems and Sparse Gaussian Elimination – Gilbert - 1980
12 Planar separators and the Euclidean norm, in – Gazit, Miller - 1990
9 A separator theorem – Djidjev - 1981
5 Extension of parallel nested dissection algorithm to the path algebra problems – Pan, Reif - 1985
2 The analysis of a nested disection algorithm – Gilbert, Tarjan - 1987
1 Advanced parallel and vlsi computation lecture notes – Leighton, Leiserson, et al. - 1988
1 A graph separator theorem and its application to gaussian elimination to optimize boolean expressions for parallel evaluation – Sheffler - 1987
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