OPERATOR SUBSTITUTION

被引：7

作者：

HAUTUS, MLJ

机构：

[1] Department of Mathematics, Computing Science Eindhoven University of Technology Eindhoven

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 206卷

关键词：

D O I：

10.1016/0024-3795(94)90367-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remainder theorem is used to derive a number of results. The tensor map is used to formulate solvability conditions for linear matrix equations. Some applications to system theory are given, in particular an application to the regulator problem.

引用

页码：713 / 739

页数：27

共 22 条

[1]

Ball J.A., 1990, INTERPOLATION RATION

[2]

DATUASHVILI GS, 1966, B ACAD SCI GEORG SSR, V44, P7

[3]

Dunford N., 1958, LINEAR OPERATORS

[4] LINEAR-MULTIVARIABLE REGULATOR PROBLEM [J].