A note on the representation for the Drazin inverse of 2×2 block matrices

By Dragana S. Cvetkovic-Ilic. 2008

71 citations recorded by the source corpus.

Abstract In this note we consider representations of the Drazin inverse of 2 × 2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjevic, P.S. Stanimirovic, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (126) (2001) 617–634; R. Hartwig, X. Li, Y. Wei, Representations for the Drazin inverse of 2 × 2 block matrix, SIAM J. Matrix Anal. Appl. 27 (2006) 757–771].

Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b97eb73bf02b496efc1ab1a205a566609b5d4966

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Chunyuan Deng
2. Mengdi Wang
3. Yimin Wei
4. Dimitri P. Bertsekas

In Computational Theory and Mathematics

1. Chunyuan Deng
2. Mengdi Wang
3. Yimin Wei
4. Dimitri P. Bertsekas
5. Csaba Szepesvari
6. Chandrashekar Lakshminarayanan
7. Amir-massoud Farahmand
8. Joan Bas-Serrano

In Numerical Analysis

1. Chunyuan Deng
2. Mengdi Wang
3. Yimin Wei
4. Dimitri P. Bertsekas
5. Csaba Szepesvari
6. Chandrashekar Lakshminarayanan

Citations in the corpus

• A note on the Drazin inverse of an anti-triangular matrix (2009, methodology): “Several authors have considered the problem for 25 2× 2 blockmatrices, under certain conditions on the individual blocks (see [9,11,15,18,21,23,29]).”
• Stabilization of Stochastic Iterative Methods for Singular and Nearly Singular Linear Systems (2014, methodology): “1 1 We use a formula for the Drazin inverse for 2 × 2 block matrices (see Cvetkovic-llic [18]), which yields 4GA5 = 6U V 7 [”