A functional approach to the Stein equation

被引：22

作者：

Fuhrmann, P. A. ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 12期

关键词：

Tensor products; Polynomial models; Toeplitz and Hankel operators; Bezoutians; Stein and Sylvester equations; POLYNOMIAL-MODELS; GEOMETRIC CONTROL; SUBSPACES; MATRICES; DUALITY;

D O I：

10.1016/j.laa.2010.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper applies the theory of tensor products of functional models to the study of the Stein equation. We analyse the connections between the Sylvester and Stein equations, as well as those between the Anderson-Jury Bezoutian associated with the polynomial Sylvester equation and the T-Bezoutian associated with the homogeneous polynomial Stein equation. The functional setting allows us to extend the theory of finite section Toeplitz matrices and their inversion. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3031 / 3071

页数：41

共 22 条

[1]

GENERALIZED BEZOUTIAN AND SYLVESTER MATRICES IN MULTIVARIABLE LINEAR-CONTROL [J].