| 雷秀仁.契比雪夫半迭代法的收敛性[J].数学研究及应用,1989,9(2):277~281 |
| 契比雪夫半迭代法的收敛性 |
| On Convergence of Chebyshev Semi-iterative Methods |
| 投稿时间：1987-05-26 |
| DOI：10.3770/j.issn:1000-341X.1989.02.021 |
| 中文关键词: |
| 英文关键词: |
| 基金项目: |
|
| 摘要点击次数: 2136 |
| 全文下载次数: 966 |
| 中文摘要: |
| |
| 英文摘要: |
| In this paper, we proved a sufficient condition for convergence of Cheby shev semi-iterative (CSI) methods applied to the numerical solution of algebraic linear systems, which depends on the bounds on the eigenvalues of a particular matrix and which is given by N.R.Santos and O.L.Linhares in 1986 with a wrong proof. In addition, we discuss the case where the eigenvalues of iterative matrices are complex and establish some sufficient and necessary conditions for convergence of Chebyshev CSI methods. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
