A Kind of Generalized Inverse Eigenvalue Problem of a Specially Structured Jacobi Matrix

被引：0
|
作者：
Huang, Xian-Tong [1 ]
机构：
[1] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China
来源：
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词：
Specially structured Jacobi matrix; Generalized inverse eigenvalue problem; element constraint;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discussed the problem of constructing a specially structured Jacobi matrix, which its elements are linearly dependent, with its part of elements and part of eigenvectors. The solvability and the expression of solution are derived. The numerical algorithms and numerical example is given.
引用
收藏
页码：87 / 90
页数：4
相关论文
共 50 条
  • [21] On the Jacobi matrix inverse eigenvalue problem with mixed given data
    Xu, SF
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (03) : 632 - 639
  • [22] On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem
    Lu, LZ
    Ng, MK
    NUMERISCHE MATHEMATIK, 2004, 98 (01) : 167 - 176
  • [23] A Class of Generalized Jacobi Matrix Eigenvalue Inverse Problems with Added Edges
    Chen, Yingshi
    Li, Le'Ang
    Lv, Meiling
    Li, Zhibin
    Wang, Lidong
    Proceedings - 2022 Global Conference on Robotics, Artificial Intelligence and Information Technology, GCRAIT 2022, 2022, : 574 - 577
  • [24] Inverse Eigenvalue Problem for principal square submatrix of Generalized Jacobi Matrices
    Li, Zhibin
    Tian, Mingxing
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 441 - 445
  • [25] 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):
  • [26] 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
  • [27] The eigenvalue problem of a specially updated matrix
    Ding, Jiu
    Yao, Guangming
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) : 415 - 420
  • [28] 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
  • [29] AN INVERSE EIGENVALUE PROBLEM FOR JACOBI MATRICES
    Haixia Liang and Erxiong Jiang Department of Mathematics
    JournalofComputationalMathematics, 2007, (05) : 620 - 630
  • [30] An inverse eigenvalue problem for Jacobi matrices
    Jiang, EX
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 21 (05) : 569 - 584
12345