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

来源：

DIVERSITY AND BEAUTY OF APPLIED OPERATOR THEORY | 2018年 / 268卷

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

页码：367 / 380

页数：14

共 50 条

[21] On two-parameter families of symmetric matrices
Linear Algebra Its Appl, (93):
[22] Homotopy algorithm for two-parameter eigenvalue problems
Z Angew Math Mech ZAMM, Suppl 2 (675):
[23] A Jacobi-Davidson type method for a right definite two-parameter eigenvalue problem
Hochstenbach, ME
Plestenjak, B
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2002, 24 (02) : 392 - 410
[24] Generic eigenvalue multiplicities for two-parameter families of operators
L. Friedlander
Russian Journal of Mathematical Physics, 2013, 20 : 424 - 437
[25] Variational method in nonlinear two-parameter eigenvalue problems
Shibata, T
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B (03): : 539 - 562
[26] Generic eigenvalue multiplicities for two-parameter families of operators
Friedlander, L.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2013, 20 (04) : 424 - 437
[27] Numerical methods for nonlinear two-parameter eigenvalue problems
Bor Plestenjak
BIT Numerical Mathematics, 2016, 56 : 241 - 262
[28] The spectra of two-parameter quadratic operator pencils
Hasanov, M.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 742 - 755
[29] Numerical methods for nonlinear two-parameter eigenvalue problems
Plestenjak, Bor
BIT NUMERICAL MATHEMATICS, 2016, 56 (01) : 241 - 262
[30] Numerical solution of some two-parameter eigenvalue problems
Podlevskyi B.M.
Journal of Mathematical Sciences, 2010, 165 (2) : 214 - 220

← 1 2 3 4 5 →