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.
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页码：3039 / 3053
页数：15
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