Variational approach to the solution of linear multiparameter eigenvalue problems

被引：2

作者：

Podlevs'kyi, B. M. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Appl Problems Mech & Math, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 09期

关键词：

Stationary Point; Eigenvalue Problem; Spectral Parameter; Variational Approach; Real Euclidean Space;

D O I：

10.1007/s11253-010-0290-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：12

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