The Group Involutory Matrix of the Combinations of Two Idempotent Matrices-Reference-Cited by-同舟云学术

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The Group Involutory Matrix of the Combinations of Two Idempotent Matrices

Published:2012 Issue: Volume:2012 Page:1-17
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Wu Lingling¹²,Liu Xiaoji¹,Yu Yaoming³

Affiliation:

1. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China

2. College of Mathematics and Computer Science, Bijie University, Guizhou 551700, China

3. School of Mathematical Sciences, Monash University, Clayton Cambus, VIC 3800, Australia

Abstract

We discuss the following problem: whenaP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQof idempotent matricesPandQ, wherea,b,c,d,e,f,g∈ℂanda≠0,b≠0, is group involutory.

Funder

Guangxi Key Laboratory of. Hybrid Computational and IC Design Analysis

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/504650.pdf

Reference16 articles.

1. Group inverse and group involutory Matrices∗

2. On linear combinations of generalized projectors

3. A note on linear combinations of commuting tripotent matrices

4. Idempotency of linear combinations of an idempotent matrix and a tripotent matrix

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