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
收藏
页码：44 / 50
页数：7
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