Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations

Gu Tongxiang

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Gu Tongxiang. Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations[J]. Applied Mathematics and Mechanics, 1997, 18(8): 747-751.

Citation:

Gu Tongxiang. Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations[J]. Applied Mathematics and Mechanics, 1997, 18(8): 747-751.

Citation:

Gu Tongxiang. Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations[J]. Applied Mathematics and Mechanics, 1997, 18(8): 747-751.

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Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations

Gu Tongxiang

Department of Mathematics, Henan Normal University, Xinxiang, Henan 453002, P. R. China

Received Date: 1995-07-06
Rev Recd Date: 1997-03-31
Publish Date: 1997-08-15

Abstract

Abstract

In this paper, the asynchronous versions of classical iterative methods for solving linear systems of equations are considered. Sufficient conditions for convergence ofasynchronous relaxed processes are given for H-matrix by which not only therequirements of [3] on coefficient matrix are lowered, but also a larger region of convergence than that in [3] is obtained.
- asynchronous iterative method,
- relaxed method,
- linear systems of equations

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References(5)

References

[1]	D, Chazan and W, Miranker,C haotic relaxation,Lin, Alg, Appl,2 (1969),199-222,
[2]	G, Baudet,Asynchronous iterative methods for multiprocessors,J, ACM,25(1978),226-244.
[3]	迟学斌,线性方程组的异步迭代法,计算数学,14(3) (1992), 330-333,
[4]	谷同祥等.一类多分裂迭代法,《企国第三届并行算法学术会议论文集》,武汉,华中理工大学出版社(1992),186-190,
[5]	D, M, Young, Iterative Solution of Lasge Linear Systems,Academic Press,New York (1971).