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.
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页码：207 / 224
页数：18
相关论文
共 8 条
[1]  
Baragana I., 1990, LINEAR MULTILINEAR A, V27, P243
[2]   SIMILARITY INVARIANTS OF COMPLETIONS OF SUBMATRICES [J].
CABRAL, I ;
SILVA, FC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 169 :151-161
[3]   UNIFIED THEOREMS ON COMPLETIONS OF MATRIX PENCILS [J].
CABRAL, I ;
SILVA, FC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 159 :43-54
[4]  
de Sa E.M., 1979, LINEAR ALGEBRA APPL, V24, P33
[5]   POINTS OF CONTINUITY OF THE KRONECKER CANONICAL FORM [J].
DEHOYOS, I .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) :278-300
[6]   INTERLACING INEQUALITIES FOR INVARIANT FACTORS [J].
THOMPSON, RC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 24 (APR) :1-31
[7]   INTERLACING INEQUALITIES AND CONTROL-THEORY [J].
ZABALLA, I .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 101 :9-31
[8]   MATRICES WITH PRESCRIBED ROWS AND INVARIANT FACTORS [J].
ZABALLA, I .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 87 :113-146
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