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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (8): 801-806.

• 论文 • 上一篇    下一篇

ASYNCHRONOUS RELAXED ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS OF EQUATIONS

谷同祥   

  1. Department of Mathematics, Henan Normal Universiyt, Xinxiang, 453002, P. R. China
  • 收稿日期:1995-07-06 修回日期:1997-03-31 出版日期:1997-08-18 发布日期:1997-08-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

ASYNCHRONOUS RELAXED ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS OF EQUATIONS

Gu Tongxiang   

  1. Department of Mathematics, Henan Normal Universiyt, Xinxiang, 453002, P. R. China
  • Received:1995-07-06 Revised:1997-03-31 Online:1997-08-18 Published:1997-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

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摘要： In this paper, the asynchronous versions of classical iterative methods for solvinglinear 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 ofconvergence than that in [3] is obtained.

Abstract: In this paper, the asynchronous versions of classical iterative methods for solvinglinear 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 ofconvergence than that in [3] is obtained.

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