The sum of orthogonal matrices in Mn (Zk)

被引：1

作者：

Merino, Dennis I. ^{[1
]}

Paras, Agnes T. ^{[2
]}

Reyes, Edgar ^{[1
]}

Walls, Gary ^{[1
]}

机构：

[1] SE Louisiana Univ, Dept Math, Hammond, LA 70402 USA

[2] Univ Philippines, Inst Math, Quezon City 1101, Philippines

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 10期

关键词：

Sum of orthogonal matrices;

D O I：

10.1016/j.laa.2010.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every A is an element of M-n (Z(2k-1)) can be written as a sum of orthogonal matrices (QQ(T) = Q(T)Q = 1) in M-n (Z(2k-1)). Moreover, we show that every A is an element of M-n (Z(2k)) can be written as a sum of orthogonal matrices in M-n (Z(2k)) if and only if the row sums and column sums of A have the same parities. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2170 / 2175

页数：6