Iterative Scheme of Finding a Spectrum of the Product of Two Non-Commutative Operators

被引：0

作者：

Tarakanov, V. I. ^{[1
]}

Lysenkova, S. A. ^{[1
]}

Nesterenko, M. V. ^{[1
]}

机构：

[1] Surgut State Univ, Pr Lenina 1, Tyumen 628400, Russia

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2014年 / 7卷 / 04期

关键词：

operator; spectrum; iterative algorithm;

D O I：

10.1134/S1995423914040090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider spectral features and an iterative scheme of finding a spectrum of the product of two non-commutative partially symmetric operators in the Hilbert space H. In this case, it is assumed that one of the operators is compact, the second one not necessarily being compact and even bounded in H. Numerical implementation of the iterative scheme for finding the operator spectrum of the problem of eigen-oscillations of the Rayleigh beam is presented.

引用

页码：345 / 358

页数：14

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