Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute

被引：33

作者：

Benítez, J ^{[1
]}

Thome, N ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, Inst Matemat Multidisciplinar, Valencia 46022, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 403卷

关键词：

idempotent matrix; t-potent matrix; linear cornbination;

D O I：

10.1016/j.laa.2005.02.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with idempotent matrices (i.e.. A(2) = A) and t-potent matrices (i.e., B-t B). When both matrices commute, we derive a list of all complex numbers c(1) and c(2) such that c(1) A + c(2)B is an idempotent matrix. In addition. the real case is also analyzed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：414 / 418

页数：5