VARIATIONAL APPROACH TO SOLVING A CLASS OF NONLINEAR MULTIPARAMETER SPECTRAL PROBLEMS

被引：0

作者：

Khlobystov, V. V. ^{[1
]}

Podlevskyi, B. M. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, 3 Tereshchenkivska St, UA-01601 Kiev, Ukraine

[2] Natl Acad Sci Ukraine, Pidstrygach Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2011年 / 2卷 / 105期

关键词：

Multiparameter eigenvalue problem; numerical algorithm; modified Newton method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the real abstract Hilbert space the nonlinear multiparameter spectral problem is assigned to the variation problem on a minimum of some functional. The equivalence of spectral and variation problems is proved. On the base of modified Newton method a numerical algorithm of finding its eigenvalues and eigenvectors is sproposed.

引用

页码：44 / 50

页数：7