Parallel Monte Carlo computations for solving SLAE with minimum communications

被引：4
|
作者：
Vajargah, Behrouz Fathi
Vajargah, Kianoush Fathi
机构：
[1] Guilan Univ, Fac Sci, Dept Math, Rasht, Iran
[2] Azad Univ, Dept Stat, N Branch, Tehran, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期
关键词：
parallel Monte Carlo; simulation; minimum communication; compressing;
D O I：
10.1016/j.amc.2006.02.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce new development of parallel Monte Carlo methods for solving system of linear algebraic equations. We discuss compressing the data and we consider a suitable statistical distribution to generate the non-zero elements of the coefficient matrix in the system given by x = Ax + f. In this way we eliminate sending all elements of the matrix even the compressed partitioned matrix in parallel implementation. We obtain only the parameters of the distribution of non-zero elements of the coefficient matrix and we just send these parameters. Therefore, we minimize the amount of data sent during the computation. (c) 2006 Elsevier Inc. All rights reserved.
引用
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页码：1 / 9
页数：9
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