Bezoutians of rational matrix functions, matrix equations and factorizations

被引：0

作者：

Lerer, L

Rodman, L

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 303卷

关键词：

Bezoutians; rational matrix functions; realization; factorization;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of Bezoutian for a quadruple of rational matrix functions introduced by the authors in previous works is shown to be an adequate connecting link between certain factorization problems for rational matrix functions and quadratic and linear matrix equations. Particular attention is given to various types of coprime factorizations. A characterization of Bezoutians as angle operators between certain pairs of subspaces is also given. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：105 / 133

页数：29

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