MATRICES WITH PRESCRIBED SUBMATRICES AND NUMBER OF INVARIANT POLYNOMIALS

被引：10
|
作者：
CABRAL, I
机构：
[1] Departmento de Matemática Universidade Nova, Lisboa Faculdade de Ciências e Tecnologia Quinta da Torre
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 219卷
关键词：
D O I：
10.1016/0024-3795(93)00215-L
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give necessary and sufficient conditions for the existence of a matrix [A B], over a field, where A is a square matrix, such that [A B] has a prescribed submatrix and the pencil [xI -A -B] has a prescribed number of invariant factors different from 1. As a corollary we give a necessary and sufficient condition for the existence of a completely controllable pair (A, B) such that [A B] has a prescribed submatrix.
引用
收藏
页码：207 / 224
页数：18
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