Variational approach to the solution of linear multiparameter eigenvalue problems

被引:0
|
作者
B. M. Podlevs’kyi
机构
[1] Ukrainian National Academy of Sciences,Institute of Applied Problems in Mechanics and Mathematics
来源
Ukrainian Mathematical Journal | 2009年 / 61卷
关键词
Stationary Point; Eigenvalue Problem; Spectral Parameter; Variational Approach; Real Euclidean Space;
D O I
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学科分类号
摘要
We associate a multiparameter spectral problem in a real Euclidean space with a variational problem of finding a minimum of a certain functional. We establish the equivalence of the spectralproblem and the variational problem. On the basis of the gradient procedure, we propose a numerical algorithm for the determination of its eigenvalues and eigenvectors. The local convergence of the algorithm is proved.
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页码:1475 / 1486
页数:11
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