Title of article
Generalized Drazin inverses of anti-triangular block matrices
Author/Authors
Deng، نويسنده , , Chun Yuan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
1
To page
8
Abstract
In this paper we give formulae for the generalized Drazin inverse M d of an anti-triangular matrix M = ( A B C 0 ) in two different ways: one is to express M d in terms of A d with arbitrary B and C, the other is to express M d in terms of B d and C d with arbitrary A. Moreover, the results are applied to obtain generalized Drazin inverses of various structured matrices and some special cases are analyzed.
Keywords
Drazin inverse , Additive result , Schur Complement , Block matrix
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561035
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