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Representations for the Drazin inverses of the sum of two matrices and some block matrices

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
218
Issue
20
Identifiers
DOI: 10.1016/j.amc.2012.03.102
Keywords
  • Drazin Inverse
  • Matrix Index
  • Block Matrix
  • Generalized Schur Complement

Abstract

Abstract In this paper, we give some formulas of the Drazin inverses of the sum of two matrices under the conditions P2Q=0,Q2P=0 and P3Q=0,QPQ=0,QP2Q=0 respectively. And we also give some representations for the Drazin inverse of block matrix ABCD (A and D are square) under some conditions.

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