On the Jacobi matrix inverse eigenvalue problem with mixed given data

被引：35
|
作者：
Xu, SF
机构：
[1] Department of Mathematics, Peking University
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1996年 / 17卷 / 03期
关键词：
Jacobi matrix; eigenvalue; inverse eigenvalue problem;
D O I：
10.1137/S089547989122065X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the problem of constructing a 2n × 2n Jacobi matrix J2n such that its eigenvalues are given distinct values λ1, λ2, . . . , λ2n and its leading n × n principal submatrix is a given n × n Jacobi matrix Jn. We give some sufficient and necessary conditions for the solubility of the problem and propose a new fast algorithm for solving this problem. We also present some numerical results.
引用
收藏
页码：632 / 639
页数：8
相关论文
共 50 条
  • [41] 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
  • [42] THE INVERSE EIGENVALUE PROBLEM FOR GENERALIZED JACOBI MATRICES WITH FUNCTIONAL RELATIONSHIP
    Li, Zhibin
    Wang, Yunfei
    Li, Shuai
    2015 12TH INTERNATIONAL COMPUTER CONFERENCE ON WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING (ICCWAMTIP), 2015, : 473 - 475
  • [43] 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
  • [44] Inverse Eigenvalue Problem of Generalized Periodic Jacobi Matrices with Edges
    Jiang, M.
    Yang, J.
    Zuo, S.
    Li, Z.
    Jiao, L.
    2021 3rd International Academic Exchange Conference on Science and Technology Innovation, IAECST 2021, 2021, : 211 - 214
  • [45] On the inverse eigenvalue problem for a specific symmetric matrix
    Zarch, Maryam Babaei
    JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (03): : 479 - 489
  • [46] A matrix inverse eigenvalue problem and its application
    Li, N
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 266 : 143 - 152
  • [47] NUMERICAL VALIDATION FOR AN INVERSE MATRIX EIGENVALUE PROBLEM
    ALEFELD, G
    GIENGER, A
    MAYER, G
    COMPUTING, 1994, 53 (3-4) : 311 - 322
  • [48] Generalized inverse eigenvalue problem with mixed eigendata
    Ghanbari, K.
    Parvizpour, F.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (08) : 2056 - 2063
  • [49] MATRIX INEQUALITIES AND ADDITIVE INVERSE EIGENVALUE PROBLEM
    DEOLIVEIRA, GN
    COMPUTING, 1972, 9 (02) : 95 - +
  • [50] THE INVERSE EIGENVALUE PROBLEM WITH FINITE DATA
    BARNES, DC
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (03) : 732 - 753
12345