Solution of spectral problems for polynomial matrices

被引：0

作者：

Kublanovskaya V.N. ^{[1
]}

机构：

[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2005年 / 127卷 / 3期

关键词：

Eigenvalue Problem; Characteristic Polynomial; Full Rank; Spectral Problem; Polynomial Matrix;

D O I：

10.1007/s10958-005-0160-9

中图分类号：

学科分类号：

摘要：

For polynomial matrices of full rank, including matrices of the form A - λI and A - λB, numerical methods for solving the following problems are suggested: find the divisors of a polynomial matrix whose spectra coincide with the zeros of known divisors of its characteristic polynomial; compute the greatest common divisor of a sequence of polynomial matrices; solve the inverse eigenvalue problem for a polynomial matrix. The methods proposed are based on the ΔW and ΔV factorizations of polynomial matrices. Applications of these methods to the solution of certain algebraic problems are considered. Bibliography: 3 titles. © 2005 Springer Science+Business Media, Inc.

引用

页码：2024 / 2032

页数：8