A two-parameter eigenvalue problem for a class of block-operator matrices

被引:2
|
作者
Levitin, Michael [1 ]
Ozturk, Hasen Mekki [1 ]
机构
[1] Univ Reading, Dept Math & Stat, POB 220, Reading RG6 6AX, Berks, England
关键词
Multiparametric spectral problems; eigenvalues; block-operator matrices; non-self-adjoint problems;
D O I
10.1007/978-3-319-75996-8_19
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a symmetric block operator spectral problem with two spectral parameters. Under some reasonable restrictions, we state localisation theorems for the pair-eigenvalues and discuss relations to a class of non-self-adjoint spectral problems.
引用
收藏
页码:367 / 380
页数:14
相关论文
共 50 条
  • [11] Tridiagonal test matrices for eigenvalue computations: Two-parameter extensions of the Clement matrix
    Oste, Roy
    Van der Jeugt, Joris
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 314 : 30 - 39
  • [12] Completeness Theorems for a Non-Standard Two-Parameter Eigenvalue Problem
    Melvin Faierman
    Manfred Möller
    Bruce A. Watson
    Integral Equations and Operator Theory, 2008, 60 : 37 - 52
  • [13] Jacobi-Davidson type method for the two-parameter eigenvalue problem
    Hochstenbach, ME
    Kosir, T
    Plestenjak, B
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2004, 26 (02) : 477 - 497
  • [14] Completeness theorems for a non-standard two-parameter eigenvalue problem
    Faierman, Melvin
    Moeller, Manfred
    Watson, Bruce A.
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 60 (01) : 37 - 52
  • [15] Eigenvalue problem of Hamiltonian operator matrices
    Wang, Hua
    Huang, Junjie
    Chen, Alatancang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [16] Eigenvalue problem of Hamiltonian operator matrices
    Hua Wang
    Junjie Huang
    Alatancang Chen
    Journal of Inequalities and Applications, 2015
  • [17] On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
    Golinskii, Leonid
    Kutsenko, Anton
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
  • [18] NONLINEARIZING TWO-PARAMETER EIGENVALUE PROBLEMS
    Ringh, Emil
    Jarlebring, Elias
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021, 42 (02) : 775 - 799
  • [19] Two-parameter nonlinear eigenvalue problems
    Gritsans, Armands
    Sadyrbaev, Felix
    Sergejeva, Natalija
    MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 185 - +
  • [20] A homotopy algorithm for two-parameter eigenvalue problems
    Shimasaki, M
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 675 - 676