On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications
Joint Authors
Chen, Mei-xiang
Chen, Qing-hua
Li, Qiao-xin
Yang, Zhong-peng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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 P 1 + ⋯ + P k with P 1 , … , P k be idempotent ( k > 3 ) are still open.
In this paper, by using block Gaussian elimination, we obtained rank equalities for the sum of finitely many idempotent matrices and then solved the open problem mentioned above.
Extensions to scalar-potent matrices and some related matrices are also included.
American Psychological Association (APA)
Chen, Mei-xiang& Chen, Qing-hua& Li, Qiao-xin& Yang, Zhong-peng. 2014. On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1050672
Modern Language Association (MLA)
Chen, Mei-xiang…[et al.]. On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications. The Scientific World Journal No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1050672
American Medical Association (AMA)
Chen, Mei-xiang& Chen, Qing-hua& Li, Qiao-xin& Yang, Zhong-peng. On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1050672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050672
