On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications

Tian and Styan have shown many rank equalities for the sum of two and three idempotent matrices and pointed out that rank equalities for the sum P1+⋯+Pk with P1,…,Pk be idempotent (k>3) are still open. In this paper, by using block Gaussian elimination, we obtained rank equalities for the sum of...

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Bibliographic Details
Main Authors: Mei-xiang Chen, Qing-hua Chen, Qiao-xin Li, Zhong-peng Yang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/702413