Generalized inverse eigenvalue problems for augmented periodic Jacobi Matrices

被引:5
|
作者
Sun, Zhen-Wei [1 ]
机构
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 03期
关键词
Periodic Jacobi; Leading principal submatrix; Mass-spring; Inverse eigenvalue; Orthogonal transformation;
D O I
10.1007/s40314-019-0875-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a new method to solve the generalized inverse eigenvalue problem for periodic Jacobi matrices. Besides, we introduce a new inverse eigenvalue problem for augmented periodic Jacobi matrices, and present a corresponding stable algorithm to solve this inverse problem. Numerical experiments show that the new method we proposed is efficient.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Generalized inverse eigenvalue problems for augmented periodic Jacobi Matrices
    Zhen-Wei Sun
    Computational and Applied Mathematics, 2019, 38
  • [2] Inverse Eigenvalue Problem for Generalized Periodic Jacobi Matrices
    Bin Li, Zhi
    Zhao, Xin Xin
    Li, Wei
    PROCEEDINGS OF 2008 INTERNATIONAL PRE-OLYMPIC CONGRESS ON COMPUTER SCIENCE, VOL II: INFORMATION SCIENCE AND ENGINEERING, 2008, : 228 - 232
  • [3] A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices
    Ghanbari, K.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 355 - 363
  • [4] Inverse problems for periodic generalized Jacobi matrices
    Derevyagin, Maxim
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 444 - 452
  • [5] 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
  • [6] The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data
    Arela-Perez, S.
    Lozano, Charlie
    Nina, Hans
    Pickmann-Soto, H.
    Rodriguez, Jonnathan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 659 : 55 - 72
  • [7] Inverse Eigenvalue Problem for Sub-periodic Generalized Jacobi Matrices
    Li, Zhibin
    Tian, Mingxing
    2010 SECOND ETP/IITA WORLD CONGRESS IN APPLIED COMPUTING, COMPUTER SCIENCE, AND COMPUTER ENGINEERING, 2010, : 294 - 297
  • [8] Inverse eigenvalue problem for generalized periodic Jacobi matrices with linear relation
    College of Mathematics and Physics, Dalian Jiaotong University, Dalian, China
    Int. Symp. Intelligent Inf. Technol. Appl., IITA, 1600, (18-20):
  • [9] Inverse Eigenvalue Problem for Generalized Periodic Jacobi Matrices With Linear Relation
    Li, Zhibin
    Zhao, Xinxin
    2009 THIRD INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATION, VOL 1, PROCEEDINGS, 2009, : 18 - 20
  • [10] INVERSE EIGENVALUE PROBLEMS FOR JACOBI MATRICES
    HALD, OH
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 14 (01) : 63 - 85