Additive decomposition of real matrices

被引：6

作者：

Li, CK ^{[1
]}

Poon, E ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2002年 / 50卷 / 04期

基金：

美国国家科学基金会;

关键词：

orthogonal matrices; orthogonal orbit;

D O I：

10.1080/03081080290025507

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The orthogonal orbit O(A) of an n x n real matrix A is the set of real matrices of the form P-t AP where (PP)-P-t = I-n. We show that A/ parallel toAparallel to is an affine sum of four orthogonal matrices, and note that A(t) can always be written as an affine combination of no more than 2 n -1 matrices in O(A). This improves some recent results of Zhan, and answers some of his questions. Other related results are also discussed.

引用

页码：321 / 326

页数：6