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：

暂无

中图分类号：

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.

引用

页码：1475 / 1486

页数：11

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