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
收藏
页码：2774 / 2783
页数：10
相关论文
共 50 条
  • [21] An Inverse Eigenvalue Problem for Jacobi Matrices
    Wang, Zhengsheng
    Zhong, Baojiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011 : 1 - 11
  • [22] An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue
    He, Bin
    Wang, Min
    Wei, Guangsheng
    APPLIED MATHEMATICS LETTERS, 2022, 133
  • [23] Some inverse eigenvalue problems on Jacobi Matrix
    Zhang, Lipu
    Xu, Yinghong
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 222 - 224
  • [24] The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix
    Yi, Fuxia
    Li, Enhua
    JOURNAL OF MATHEMATICS, 2024, 2024
  • [25] A kind of inverse eigenvalue problems of Jacobi matrix
    College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China
    1600, 1543-1555 (April 15, 2006):
  • [26] A kind of Generalized Inverse Eigenvalue Problem of a Specially Structured Period Jacobi Matrix
    Tong, Huangxian
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1, 2009, : 254 - 258
  • [27] A kind of inverse eigenvalue problems of Jacobi matrix
    Peng, Juan
    Hu, Xi-Yan
    Zhang, Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (02) : 1543 - 1555
  • [28] Hochstadt inverse eigenvalue problem for Jacobi matrices
    Cojuhari, P. A.
    Nizhnik, L. P.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (01) : 439 - 451
  • [29] On the inverse eigenvalue problem for periodic Jacobi matrices
    Heydari, M.
    Shahzadeh Fazeli, S. A.
    Karbassi, S. M.
    Hooshmandasl, M. R.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2020, 28 (09) : 1253 - 1264
  • [30] An inverse eigenvalue problem for periodic Jacobi matrices
    Xu, Ying-Hong
    Jiang, Er-Xiong
    INVERSE PROBLEMS, 2007, 23 (01) : 165 - 181
12345