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Representations for the Drazin Inverse of the Sum of Two Matrices and its Applications.

Authors :
Guo, Li
Chen, Jianlong
Zou, Honglin
Source :
Bulletin of the Iranian Mathematical Society. Jun2019, Vol. 45 Issue 3, p683-699. 17p.
Publication Year :
2019

Abstract

Some additive results for the Drazin inverses are investigated under conditions weaker than those used in some recent papers on this subject. In particular, a formula is given for the Drazin inverse of a sum of two matrices P , Q ∈ C n × n with P Q i P = 0 for positive integer i = 1 , 2 , ... , n . As an application we give some new representations for the Drazin inverse of a 2 × 2 block matrix. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATRICES (Mathematics)
*INTEGERS

Details

Language :
English
ISSN :
10186301
Volume :
45
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Iranian Mathematical Society
Publication Type :
Academic Journal
Accession number :
136558214
Full Text :
https://doi.org/10.1007/s41980-018-0159-x