Transforming matrices and divisors generated by them

被引：0
|
作者：
Shchedryk V.P. [1 ]
机构：
[1] Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv
来源：
Journal of Mathematical Sciences | 2011年 / 174卷 / 2期
关键词：
Principal Ideal; Transforming Matrice; Elementary Divisor; Invertible Matrice; Commutative Domain;
D O I：
10.1007/s10958-011-0290-1
中图分类号：
学科分类号：
摘要：
Over a commutative domain of elementary divisors, each matrix is a product of invertible matrices and a certain diagonal matrix, which are called, respectively, transforming matrices and a canonical diagonal form. We establish necessary and sufficient conditions when all divisors of the matrix that have a canonical diagonal form given beforehand are described using only transforming matrices. © 2011 Springer Science+Business Media, Inc.
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页码：196 / 208
页数：12
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