The Drazin inverse of anti-triangular block matrices

2021 ◽  
Author(s):  
Daochang Zhang ◽  
Yu Jin ◽  
Dijana Mosić
Keyword(s):  
Drazin Inverse ◽  
Block Matrices ◽  
Triangular Block

Formulas for the drazin inverse of special block matrices

2006 ◽  
Vol 174 (1) ◽  
pp. 252-270 ◽  
Author(s):  
N. Castro-González ◽  
E. Dopazo ◽  
J. Robles
Keyword(s):  
Drazin Inverse ◽  
Block Matrices

scholarly journals A comment on some recent results concerning the Drazin inverse of an anti-triangular block matrix

Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 341-351 ◽  
Author(s):  
Yuan Deng
Keyword(s):  
Block Matrix ◽  
Drazin Inverse ◽  
Triangular Block ◽  
The Individual

In this note we give formulae for the Drazin inverseMD of an anti-triangular special block matrix M = (ABC0)under some conditions expressed in terms of the individual blocks, which generalize some recent results given by Changjiang Bu [7, 8] and Chongguang Cao [10], etc.

scholarly journals Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Abdul Shakoor ◽  
Hu Yang ◽  
Ilyas Ali
Keyword(s):  
Block Matrix ◽  
Drazin Inverse ◽  
Numerical Examples ◽  
Block Matrices

We give a formula of(P+Q)Dunder the conditionsP2Q+QPQ=0,P3Q=0, andPQPQ=0. Then, we apply it to give some expressions for the Drazin inverse of block matrixM=(ABCD)(AandDare square matrices) under some conditions, generalizing some recent results in the literature. Finally, numerical examples are given to illustrate our results.

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