Representations for the Drazin inverse of 2×2 block-operator matrix with singular Schur complement

Author:

Deng Chunyuan,Wei Yimin

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference43 articles.

1. The generalized Schur complement in group inverses and (k+1)-potent matrices;Bentez;Linear and Multilinear Algebra,2006

2. On the index of block upper triangular matrices;Bru;SIAM J. Matrix Anal. Appl.,1995

3. Group inverse for the block matrices with an invertible subblock;Bu;Appl. Math. Comput.,2009

4. Generalized Inverse of Linear Transformations;Campbell,1979

5. New additive results for the g-Drazin inverse;Castro-González;Proc. Roy. Soc. Edinburgh Sect. A,2004

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1. Maps Preserving Drazin Invertible Operator Matrices with Non-singular Schur Complement;Mediterranean Journal of Mathematics;2022-02-21

2. The generalized Drazin inverse of operator matrices;Hacettepe Journal of Mathematics and Statistics;2020-12-31

3. Representations for the Drazin Inverse of the Sum of Two Matrices and its Applications;Bulletin of the Iranian Mathematical Society;2018-08-21

4. Block representations of the generalized Drazin inverse;Applied Mathematics and Computation;2018-08

5. On the inverse of a special Schur complement of an operator;Georgian Mathematical Journal;2018-03-01

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