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定常二级迭代法与其外迭代法收敛性的比较

薛秋芳 高兴宝 刘晓光

计算机工程与应用Issue(8):11-15,5.
计算机工程与应用Issue(8):11-15,5.DOI:10.3778/j.issn.1002-8331.1309-0209

定常二级迭代法与其外迭代法收敛性的比较

Comparison results about stationary two-stage iterative methods and outer iterative methods

薛秋芳 1高兴宝 2刘晓光1

作者信息

  • 1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 2. 西安理工大学 理学院 应用数学系,西安 710054
  • 折叠

摘要

Abstract

In this paper, the convergence rate of stationary two-stage iterative methods is studied. Comparison results about the convergence rate of stationary two-stage iterative methods and their outer iterative methods are obtained. It is shown that the outer iterative methods are faster than the stationary two-stage iterative methods with the mild splittings. For the splittings of H-matrices, comparison results are also gotten. Finally, the obtained results are illustrated by the example.

关键词

定常二级迭代法/外迭代法/不可约矩阵/H-矩阵/谱半径

Key words

stationary two-stage iterative method/outer iterative method/irreducible matrix/H-matrix/spectral radius

分类

数理科学

引用本文复制引用

薛秋芳,高兴宝,刘晓光..定常二级迭代法与其外迭代法收敛性的比较[J].计算机工程与应用,2014,(8):11-15,5.

基金项目

国家自然科学基金(No.61273311,No.61173094)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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