On Some “Tame” and “Wild” Aspects of the Problem of Semiscalar Equivalence of Polynomial Matrices

被引：0
|
作者：
B. Z. Shavarovskii
机构：
[1] Ya. S. Pidstrigach Institute of Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine
来源：
Mathematical Notes | 2004年 / 76卷
关键词：
polynomial matrix; semiscalar equivalence; tame problem; wild problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The problem of reducing polynomial matrices to canonical form by using semiscalar equivalent transformations is studied. This problem is wild as a whole. However, it is tame in some special cases. In the paper, classes of polynomial matrices are singled out for which canonical forms with respect to semiscalar equivalence are indicated. We use this tool to construct a canonical form for the families of coefficients corresponding to the polynomial matrices. This form enables one to solve the classification problem for families of numerical matrices up to similarity.
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页码：111 / 123
页数：12
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