Inverse eigenvalue problem of Hermitian generalized anti-hamiltonian matrices

被引：0
|
作者：
Zhongzhi Z. [1 ,2 ,3 ]
Changrong L. [1 ,2 ,3 ]
机构：
[1] School of Math. Science, Central South Univ., Changsha
[2] Dept. of Math., Hunan City Univ., Yiyang
[3] Faculty of Mathematics and Econometrics, Hunan Univ., Changsha
来源：
Applied Mathematics-A Journal of Chinese Universities | 2004年 / 19卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Hermitian generalized anti-Hamiltonian matrix; Inverse eigenvalue problem; Optimal approxmation;
D O I：
10.1007/s11766-004-0043-8
中图分类号：
学科分类号：
摘要：
In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. © 2004, Springer Verlag. All rights reserved.
引用
收藏
页码：342 / 348
页数：6
相关论文
共 50 条
  • [41] ON THE INVERSE EIGENVALUE PROBLEM FOR MATRICES
    DEAKIN, AS
    LUKE, TM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (03): : 635 - 648
  • [42] The Optimal Approximation of Generalized Reflexive Matrices Solution for the Inverse Generalized Eigenvalue Problem
    Yuan, Yandong
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 386 - 389
  • [43] The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
    Holtz, O
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 408 : 268 - 274
  • [44] Eigenvalue problem of Hamiltonian operator matrices
    Hua Wang
    Junjie Huang
    Alatancang Chen
    Journal of Inequalities and Applications, 2015
  • [45] Eigenvalue problem of Hamiltonian operator matrices
    Wang, Hua
    Huang, Junjie
    Chen, Alatancang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [46] 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
  • [47] 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
  • [48] The Best Approximation Solution of Generalized Antireflexive Matrices for the Inverse Eigenvalue Problem
    Yuan, Yandong
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 418 - 421
  • [49] Iterative solutions of generalized inverse eigenvalue problem for partially bisymmetric matrices
    Cai, Jing
    Chen, Jianlong
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (08): : 1643 - 1654
  • [50] 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):
12345