日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
分散メモリ型並列計算機における縦ブロック分割並列LU分解
今村 俊幸
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ジャーナル フリー

1998 年 8 巻 3 号 p. 373-388

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抄録
This paper describes a vertical-block decomposed parallel LU factorization method(hereafter VB-PLU), which processes effectively on a distributed memory parallel computer. Because VBPLU method is based on the block algorithm, the message aggregation technique and the block-cyclic distribution strategy, it can reduce issue of communication and improve load balance. Further-more this method ensures to use long vectors for updating in Gauss-elimination, thus it is also advantageous with vector processors. In this paper, VBPLU method is shown and computational costs are estimated. Its evaluations are confirmed through numerical experiments on two parallel computers, SR2201 and VPP300.
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© 1998 一般社団法人 日本応用数理学会
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