Covering singular linear semi-groups

被引：0

作者：

Knueppel, Frieder ^{[1
]}

Nielsen, Klaus ^{[2
]}

机构：

[1] Math Seminar, D-24098 Kiel, Germany

[2] Rechenzentrum, D-24098 Kiel, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 07期

关键词：

Factorization of matrices; Covering number; Singular linear semigroup; Similarity classes; Schur-complement; Products of blockcyclic matrices; Products of cyclic matrices; PRODUCTS; SEMIGROUPS;

D O I：

10.1016/j.laa.2012.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let V be a vector space of dimension n is an element of N over a field K, vertical bar K vertical bar >= 4. Let pi : V -> V be a singular linear transformation and Omega a similarity class of nullity 1. Let k is an element of N, k >= n, 4. Then pi is a product of k elements of Omega. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3039 / 3053

页数：15

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