An improved mapping of cyclic elimination onto hypercubes using data replication

被引:1
|
作者
Gopalan, K
Murthy, CSR [1 ]
机构
[1] Indian Inst Technol, Dept Comp Sci & Engn, Madras 600036, Tamil Nadu, India
[2] SUNY Stony Brook, Dept Comp Sci, Stony Brook, NY 11794 USA
来源
关键词
linear algebra; block tridiagonal linear systems; cyclic elimination; cyclic reduction; hypercube multiprocessors;
D O I
10.1142/S0129053397000180
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we propose a new mapping of the Cyclic Elimination (CE) algorithm for the solution of block tridiagonal linear system of equations onto hypercube multiprocessors. Unlike the previous mapping schemes, in our mapping of the CE algorithm all communications are restricted to physically adjacent processors, using the concept of data replication. The effectiveness of our mapping is demonstrated by comparing it with the existing mapping of the Cyclic Reduction algorithm onto hypercubes using both analytical and simulation methods.
引用
收藏
页码:311 / 336
页数:26
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