The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix

被引：13

作者：

Oblak, Polona ^{[1
]}

机构：

[1] Inst Math Phys & Mech, Dept Math, SI-1000 Ljubljana, Slovenia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2008年 / 56卷 / 06期

关键词：

commuting nilpotent matrices; Jordan canonical form;

D O I：

10.1080/03081080701571083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the set P(N-B) of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix B. We describe P(N-B)in the special case when B has only one Jordan block and discuss some consequences. In the general case, we find the maximal possible index of nilpotency in the set of all nilpotent matrices commuting with a given nilpotent matrix. We consider several examples.

引用

页码：701 / 711

页数：11

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