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Efficient Parallel Solutions of Large Sparse SPD Systems on Distributed-memory Multiprocessors

Author
Sun, Chunguang
Abstract
We consider several issues involved in the solution of sparse symmetric positive definite system by multifrontal method on distributed-memory multiprocessors. First, we present a new algorithm for computing the partial factorization of a frontal matrix on a subset of processors which significantly improves the performance of a distributed multifrontal algorithm previously designed. Second, new parallel algorithms for computing sparse forward elimination and sparse backward substitution are described. The new algorithms solve the sparse triangular systems in multi- frontal fashion. Numerical experiments run on an Intel iPSC/860 and an Intel iPSC/2 for a set of problems with regular and irregular sparsity structure are reported. More than 180 million flops per second during the numerical factorization are achieved for a three- dimensional grid problem on an iPSC/860 machine with 32 processors.
Date Issued
1992-08Publisher
Cornell University
Subject
theory center
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/92-102
Type
technical report