A Jacobi matrix inverse eigenvalue problem with mixed data

被引：12

作者：

Wei, Ying ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 10期

关键词：

Jacobi matrix; Eigenvalue; Inverse problem; Submatrix; ALGORITHM;

D O I：

10.1016/j.laa.2013.07.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the inverse eigenvalue problem of reconstructing a Jacobi matrix from part of its eigenvalues and its leading principal submatrix is considered. The necessary and sufficient conditions for the existence and uniqueness of the solution are derived. Furthermore, a numerical algorithm and some numerical examples are given. (C) 2013 Published by Elsevier Inc.

引用

页码：2774 / 2783

页数：10

共 12 条

[1] A SURVEY OF MATRIX INVERSE EIGENVALUE PROBLEMS [J].

BOLEY, D ;

GOLUB, GH .

INVERSE PROBLEMS, 1987, 3 (04) :595-622

[2]

Chu MT, 2002, ACT NUMERIC, V11, P1, DOI 10.1017/S0962492902000014

[3]

Gladwell G. M. L., 2004, Inverse Problems in Vibration

[4]

Gladwell G.M. L., 1986, INVERSE PROBLEMS VIB

[5] INVERSE EIGENVALUE PROBLEMS FOR JACOBI MATRICES [J].

HALD, OH .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 14 (01) :63-85

[6] CONSTRUCTION OF A JACOBI MATRIX FROM MIXED GIVEN DATA [J].

HOCHSTADT, H .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 28 (DEC) :113-115

[7]

Liang HX, 2007, J COMPUT MATH, V25, P620

[8] Inverse eigenvalue problem: existence of special spring-mass systems [J].

Nylen, P ;

Uhlig, F .

INVERSE PROBLEMS, 1997, 13 (04) :1071-1081

[9] A divide and conquer algorithm on the double dimensional inverse eigenvalue problem for Jacobi matrices [J].

Wu, Xiaoqian .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) :3840-3846

[10] A new algorithm on the inverse eigenvalue problem for double dimensional Jacobi matrices [J].

Wu, Xiaoqian ;

Jiang, Erxiong .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) :1760-1770

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