Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices
Joint Authors
Yang, Hu
Ali, Ilyas
Shakoor, Abdul
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We give a formula of (P+Q)D under the conditions P2Q+QPQ=0, P3Q=0, and PQPQ=0.
Then, we apply it to give some expressions for the Drazin inverse of block matrix M=(ABCD) (A and D are square matrices) under some conditions, generalizing some recent results in the literature.
Finally, numerical examples are given to illustrate our results.
American Psychological Association (APA)
Shakoor, Abdul& Yang, Hu& Ali, Ilyas. 2013. Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-499375
Modern Language Association (MLA)
Shakoor, Abdul…[et al.]. Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-499375
American Medical Association (AMA)
Shakoor, Abdul& Yang, Hu& Ali, Ilyas. Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-499375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499375
