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A CLASS OF ASYNCHRONOUS PARALLEL MATRIX MULTISPLITTING RELAXATION METHODS

 

作者: DEREN WANG,   ZHONGZHI BAI,   D. J. EVANS,  

 

期刊: Parallel Algorithms and Applications  （Taylor Available online 1994）
卷期: Volume 2, issue 3  

页码: 173-192

 

ISSN:1063-7192

 

年代: 1994

 

DOI:10.1080/10637199408915415

 

出版商: Taylor & Francis Group

 

关键词: System of linear equations;asynchronous parallel;matrix multisplitting;relaxation;convergence;divergence;65F10;G.1.3

 

数据来源: Taylor

 

摘要:

In this paper, a class of asynchronous parallel matrix multisplitting relaxation methods suitable to the MIMD-systems are constructed. The convergence and the convergence rate of it are discussed in a detailed manner under the condition that the coefficient matrixAis a monotone matrix. Moreover, when the matrixAis anL-matrix, we give sufficient and necessary conditions ensuring the convergence of the methods, too.

 

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