Sylvester matrix equation for matrix pencils

被引：9

作者：

Beitia, MA ^{[1
]}

Gracia, JM ^{[1
]}

机构：

[1] UNIV BASQUE COUNTRY, FAC FARM, DEPT MATEMAT APLICADA & EIO, E-01080 VITORIA, SPAIN

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 232卷

关键词：

D O I：

10.1016/0024-3795(94)00044-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a homogeneous linear matrix equation system related to the strict equivalence of matrix pencils. We obtain the dimension of the vector space of its solutions in terms of the invariants of the strict equivalence. We give a characterization of the strict equivalence of matrix pencils by rank tests, and we extend Both's criterion for the corresponding nonhomogeneous system.

引用

页码：155 / 197

页数：43

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