• 论文 •

### 矩阵分裂序列与线性二级迭代法

1. 国防科技大学理学院数学系,国防科技大学计算机学院 长沙 410073 长沙大学数学与信息科学系,长沙 410003,长沙 410073
• 出版日期:2006-02-14 发布日期:2006-02-14

### MATRICES SPLITTING SEQUENCES AND TWO-STAGE ITERATIVE METHODS

1. Cai Fang (Department of Mathematics, School of Science, National University of Defense Technology, Changsha 410073, China; Department of Mathematics and Information Science, ChangSha University, Changsha 410003, China) Xiong Yueshan (School of Computer, National University of Defense Technology, Changsha 410073, China)
• Online:2006-02-14 Published:2006-02-14

This paper discusses the convergence of the non-stationary two-stage iterative methods for linear systems. A sort of new and weak convergent condition satisfied by the matrices splitting sequences is found for the iterative methods with the matrices splitting sequences. We then obtain the convergent result of the generalized two-stage iterative methods, which are the generalization of the non-stationary two-stage iterative methods. Consequently, the convergence of the non-stationary two-stage iterative methods is proofed over again through a new approach.
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