Spectrum division for eigenvalue problems with nonlinear dependence on the parameter

被引：3

作者：

Samsonov, A. A. ^{[1
]}

Solov'ev, P. S. ^{[1
]}

Solov'ev, S. I. ^{[1
]}

机构：

[1] Kazan Fed Univ, 18 Kremlevskaya St, Kazan 420008, Russia

来源：

12TH INTERNATIONAL CONFERENCE - MESH METHODS FOR BOUNDARY: VALUE PROBLEMS AND APPLICATIONS | 2019年 / 1158卷

基金：

俄罗斯科学基金会;

关键词：

FINITE-ELEMENT APPROXIMATIONS; BUBNOV-GALERKIN METHOD; EIGENVIBRATIONS; ERROR; SUPERCONVERGENCE; PERTURBATIONS; BEAM;

D O I：

10.1088/1742-6596/1158/4/042012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper, symmetric matrix eigenvalue problems with nonlinear dependence on the spectral parameter on an interval of the real line are studied. To compute eigenvalues, method of spectrum division is proposed and investigated. This method is based on the triangular factorization and Silvester theorem on inertia.

引用

页数：5

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