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2-循环矩阵下MASOR迭代法的收敛性分析

叶绒绒 畅大为 韩俊佳

纺织高校基础科学学报2016,Vol.29Issue(4):428-434,7.
纺织高校基础科学学报2016,Vol.29Issue(4):428-434,7.DOI:10.13338/j.issn.1006-8341.2016.04.003

2-循环矩阵下MASOR迭代法的收敛性分析

The convergence analyse of MASOR iteration method on the basis of 2-cylic matrix

叶绒绒 1畅大为 1韩俊佳1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710119
  • 折叠

摘要

Abstract

In order to study the nature of the MASOR iteration method and prove that MASOR can converge on the condition of μk>1,the method of MASOR was introduced and then the relationship between the eigenvalue and eigenvector of MASOR iteration method and Jacobbi iteration method was established.At last under the condition of a given eigenvalueμk2 =mki,by respectly discussing σ1=σ2,σ1 =σ2,the scope of the convergence of MASOR iteration method was obtained under the condition of mk<1,mk =1,mk>1.

关键词

2-循环矩阵/MASOR迭代矩阵/Jacobbi迭代矩阵/MASOR特征值/Jacobbi特征值

Key words

2-cyclic matrix/MASOR iteration matrix/Jacobbi iteration matrix/the eigenvalue of MASOR/the eigenvalue of Jacobbi

分类

数理科学

引用本文复制引用

叶绒绒,畅大为,韩俊佳..2-循环矩阵下MASOR迭代法的收敛性分析[J].纺织高校基础科学学报,2016,29(4):428-434,7.

基金项目

国家自然科学基金资助项目(11226266,11401361) (11226266,11401361)

纺织高校基础科学学报

OACSTPCD

1006-8341

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