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Partitioning rectangular and structurally unsymmetric sparse matrices for parallel processing

delete2000-01-01
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Tamara G. Kolda
DOI:10.1137/S1064827598341475delete
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Abstract

Abstract

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A common operation in scientific computing is the multiplication of a sparse, rectangular, or structurally unsymmetric matrix and a vector. In many applications the matrix-transpose-vector product is also required. This paper addresses the efficient parallelization of these operations. We show that the problem can be expressed in terms of partitioning bipartite graphs. We then introduce several algorithms for this partitioning problem and compare their performance on a set of test matrices.
Keywords:
matrix partitioning
iterative method
parallel computing
rectangular matrix
structurally unsymmetric matrix
bipartite graph
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Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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