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双倍维Jacobi矩阵逆问题的改进算法

本站小编 Free考研考试/2021-12-27

孟纯军, 杨泽昱, 李晗
湖南大学数学与计量经济学院, 长沙 410082
收稿日期:2018-06-19出版日期:2019-09-15发布日期:2019-08-21
通讯作者:孟纯军,Email:mengchunjun@hnu.edu.cn

基金资助:国家自然科学基金(11271117)资助.


THE IMPROVED ALGORITHM ON THE DOUBLE DIMENSIONAL JACOBI MATRIX INVERSE EIGENVALUE PROBLEM

Meng Chunjun, Yang Zeyu, Li Han
College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
Received:2018-06-19Online:2019-09-15Published:2019-08-21







摘要



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本文给出了一种解决双倍维Jacobi矩阵逆问题的改进算法.该算法避免了重新构造顺序主子矩阵Jn,也避免了计算尾主子矩阵Jn+1,2n的特征多项式以及特征值,因此本文的改进算法具有更好的稳定性和精度.给出的两个数值实例说明,本文的改进算法是有效的,比现有的几种算法具有更高的精度.
MR(2010)主题分类:
15A18
65F15
65F18

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