On Parameterised Quadratic Inverse Eigenvalue Problem

被引：2
|
作者：
Xiang, Meiling [1 ]
Dai, Hua [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2022年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quadratic inverse eigenvalue problem; multiparameter eigenvalue problem; smooth QR-decomposition; Newton method; NUMERICAL-METHODS; ALGORITHM; MATRICES;
D O I：
10.4208/eajam.250321.230821
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that if prescribed eigenvalues are distinct, then the parameterised quadratic inverse eigenvalue problem is equivalent to a multiparameter eigenvalue problem. Moreover, a sufficient condition for the problem solvability is established. In order to find approximate solution of this problem, we employ the Newton method based on the smooth QR-decomposition with column pivoting and prove its locally quadratic convergence. Numerical examples illustrate the effectiveness of the method. AMS subject classifications: 65F15 Key words: Quadratic inverse eigenvalue problem, multiparameter eigenvalue problem, smooth
引用
收藏
页码：185 / 200
页数：16
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