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- Dragana S. Cvetkovic-Ilic, Chun Yuan Deng
- J. Computational Applied Mathematics
- 2010

In this note, some equivalents are established of the Drazin invertibility of differences and sums of idempotent operators on a Hilbert space. Â© 2009 Elsevier B.V. All rights reserved.

In this article we consider Re-nnd solutions of the equation AXB = C with respect to X, where A,B, C are given matrices. We give necessary and sufficient conditions for the existence of Re-nndâ€¦ (More)

In this paper we offer new representations for Drazin inverse of block matrix, which recover some representations from current literature on this subject. 2000 Mathematics Subject Classification:â€¦ (More)

In this paper we investigate additive properties of the generalized Drazin inverse in a Banach algebra. We find some new conditions under which the generalized Drazin inverse of the sum a + b couldâ€¦ (More)

- Xiaoji Liu, Shaowu Huang, Dragana S. Cvetkovic-Ilic
- Applied Mathematics and Computation
- 2012

The reverse order laws for {1,3,4}-generalized inverses of a product of two operators have been studied by Wang et al. [J. Wang, H. Zhang, G. Ji, A generalized reverse order law for the products ofâ€¦ (More)

The paper deals with the generalized Drazin invertibility of combinations of idempotents p, q in a Banach algebra. It proves the equivalence of the generalized Drazin invertibility of pâˆ’q and p+q, asâ€¦ (More)

A new result on the Drazin inverse of 2Ã— 2 block matrix M = [ A B D C ] , where A and C are square matrices are presented, extended in the case when D = 0, the well known representation for theâ€¦ (More)

- Predrag S. Stanimirovic, Dragana S. Cvetkovic-Ilic, Sladjana Miljkovic, Marko Miladinovic
- Applied Mathematics and Computation
- 2011

We present the full-rank representations of {2, 4} and {2, 3}-inverses (with given rank as well as with prescribed range and null space) as particular cases of the full-rank representation of outerâ€¦ (More)

- Dragana S. Cvetkovic-Ilic
- Appl. Math. Lett.
- 2011

In this paper, we consider the reverse order laws for {1, 3, 4}-generalized inverses in C*algebras. We present purely algebraic necessary and sufficient conditions for b{1, 3, 4}Â· a{1, 3, 4} âŠ†â€¦ (More)

In this note, the reverse order laws for {1, 3} and {1, 4}-generalized inverses of matrices are considered. New necessary and sufficient conditions for (AB){1, 3} âŠ† B{1, 3} Â· A{1, 3} and (AB){1, 4} âŠ†â€¦ (More)