A note on communication analysis of parallel sparse Cholesky factorization on a hypercube (Q751753)
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scientific article; zbMATH DE number 4178634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on communication analysis of parallel sparse Cholesky factorization on a hypercube |
scientific article; zbMATH DE number 4178634 |
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A note on communication analysis of parallel sparse Cholesky factorization on a hypercube (English)
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1990
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The communication analysis for the nested-dissection method of column- oriented Cholesky factorization established by \textit{A. George}, \textit{J. W. H. Liu}, and \textit{E. Ng} [ibid. 10, No.3, 287-298 (1989; Zbl 0687.65024)] is simplified using the subgrid-to-subcube column assignment for a \(k\times k\) grid on a hypercube of p processors. The authors show that the amount of communication is \(O(k^ 2)\) per processor, which implies balanced communication.
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parallel algorithms
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communication analysis
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nested-dissection method
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Cholesky factorization
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hypercube
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