SPARSE-MATRIX INVERSE FACTORS

被引:42
作者
ENNS, MK [1 ]
TINNEY, WF [1 ]
ALVARADO, FL [1 ]
机构
[1] UNIV WISCONSIN,DEPT ELECT & COMP ENGN,MADISON,WI 53706
关键词
Direct Solutions; Inverse Factors; Parallel computation; Partitioning; Sparsity;
D O I
10.1109/59.54554
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The inverses of matrix factors lend themselves to parallel operations in the direct solution phase of sparse matrix solutions. These inverse factors, given suitable ordering of the equations, are themselves sparse, if less so than the original factors. Partitioning reduces the build-up of nonzero elements in the inverse factors. All of the multiplications required for repeat solutions may be performed in parallel using the inverse factors, with only as many serial steps as twice the number of factors. © 1990 IEEE
引用
收藏
页码:466 / 473
页数:8
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