计算物理

计算物理 ›› 1989, Vol. 6 ›› Issue (1): 117-125.

• 论文 • 上一篇    

判别迭代收敛性的一种方法和SIP的收敛性

胡家赣, 刘兴平   

  1. 北京应用物理与计算数学研究所, 北京8009信箱
  • 收稿日期:1988-01-16 出版日期:1989-03-25 发布日期:1989-03-25

A METHOD FOR DETERMINING THE CONVERGENCE OF ITERATIVE METHOD AND THE CONVERGENCE OF SIP METHOD

Hu Jia-gan, Liu Shing-ping   

  1. Institute of Applied Physics and Computational Mathematics, Beijing
  • Received:1988-01-16 Online:1989-03-25 Published:1989-03-25

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Abstract: In this paper, a new method to determine the rate of Convergence of some terative methods for solving the systems of linear algebraic equations is proposed. The method is simpler and more effective than previons methods.It can show how the rate of convergence depends on some elements of the coefficient matrix of the system.Several iterative methods are considers and numerical results are given to illustrate our method and conclusions.

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