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
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
收藏
页码:414 / 418
页数:5
相关论文
共 2 条
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Baksalary, JK ;
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LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 354 (1-3) :21-34
[2]   Idempotency of linear combinations of two idempotent matrices [J].
Baksalary, JK ;
Baksalary, OM .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 321 (1-3) :3-7