SUBSTITUTION OF MATRICES OVER RINGS

被引：1

作者：

HAUTUS, MLJ

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 226卷

关键词：

D O I：

10.1016/0024-3795(95)00155-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given commutative ring R with an identity element, we define and study the substitution of a matrix with entries in R into a matrix polynomial or rational function over R. A Bezout-type remainder theorem and a ''partial-substitution rule'' are derived and used to obtain a number of results. The tenser map is introduced and used to investigate the solvability of linear matrix equations.

引用

页码：353 / 370

页数：18

共 10 条

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