Inverse Eigenvalue Problem for principal square submatrix of Generalized Jacobi Matrices

被引：0

作者：

Li, Zhibin ^{[1
]}

Tian, Mingxing ^{[1
]}

机构：

[1] Dalian Jiaotong Univ, Coll Math & Phys, Dalian 116028, Peoples R China

来源：

ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING | 2010年

关键词：

generalized Jacobi matrix; principal square submatrix; inverse eigenvalue problem;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper researches the inverse eigenvalue problem for generalized Jacobi matrices. Give three characteristic pairs, get a generalized Jacobi matrix. Let the two characteristic pairs are the characteristic pairs of principal square submatrix, and other a characteristic pairs is the characteristic pairs of the generalized Jacobi matrix. The paper discussed the existence and uniqueness of the question's solution. And the expression of the solution of the problem is given, and a numerical example is provided.

引用

页码：441 / 445

页数：5

共 50 条

[31] Generalized inverse eigenvalue problems for augmented periodic Jacobi Matrices
Sun, Zhen-Wei
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (03):
[32] Generalized inverse eigenvalue problems for augmented periodic Jacobi Matrices
Zhen-Wei Sun
Computational and Applied Mathematics, 2019, 38
[33] Generalized Inverse Eigenvalue Problem for Centrohermitian Matrices
刘仲云
谭艳祥
田兆录
Advances in Manufacturing, 2004, (04) : 448 - 454
[34] Least-squares solutions of generalized inverse eigenvalue problem over Hermitian–Hamiltonian matrices with a submatrix constraint
Jing Cai
Jianlong Chen
Computational and Applied Mathematics, 2018, 37 : 593 - 603
[35] An inverse eigenvalue problem for modified pseudo-Jacobi matrices
Xu, Wei-Ru
Bebiano, Natalia
Chen, Guo-Liang
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 389
[36] An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces
Bebiano, Natalia
da Fonseca, C. M.
da Providencia, Joao
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (08) : 2033 - 2045
[37] Least-squares solutions of generalized inverse eigenvalue problem over Hermitian-Hamiltonian matrices with a submatrix constraint
Cai, Jing
Chen, Jianlong
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (01): : 593 - 603
[38] INVERSE EIGENVALUE PROBLEMS FOR JACOBI MATRICES
HALD, OH
LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 14 (01) : 63 - 85
[39] Generalized Inverse Eigenvalue Problem for a Class Of Triangular Matrices
Li, Shuai
Li, Zhibin
INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014), 2014, : 108 - 113
[40] An inverse eigenvalue problem for symmetric Arrow-plus-Jacobi matrices
College of Science, Jiujiang University, Jiujiang, China
不详
Proc. - Int. Conf. Comput. Inf. Sci., ICCIS, (764-766):

← 1 2 3 4 5 →