| 2-循环矩阵下MASOR迭代法的收敛性分析 |
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| 引用本文： | 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(4):428-434. |
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| 作者姓名： | 叶绒绒 畅大为 韩俊佳 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安,710119 |
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| 基金项目： | 国家自然科学基金资助项目(11226266 |
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| 摘 要： | 为研究MASOR的性质,证明在Jacobbi特征值μk1时,MASOR迭代可以收敛,首先引入块SOR迭代矩阵,同时建立块SOR迭代矩阵与块Jacobbi迭代矩阵的特征值与特征向量之间的关系.然后在给定Jacobbi特征值μ2k=mki情况下,分别讨论σ1=-σ2,σ1=σ2时,MASOR迭代矩阵在mk1,mk=1,mk1时的收敛范围.
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| 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 |
The convergence analyse of MASOR iteration method on the basis of 2-cylic matrix |
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| 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. |
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| Keywords: | 2-cyclic matrix MASOR iteration matrix Jacobbi iteration matrix the eigenvalue of MASOR the eigenvalue of Jacobbi |
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