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
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)