Journal of Jilin University Science Edition

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Representations for Drazin Inverses of Sum of Two  Matrices

GUO Li1,2, ZOU Honglin1, DU Wenming2   

  1. 1. Department of Mathematics, Southeast University, Nanjing 210096, China;2. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2016-06-27 Online:2016-09-26 Published:2016-09-19
  • Contact: GUO Li E-mail:guomingli95@163.com

Abstract:

We considered representations for Drazin inverses of the sum of two matrices,  under the condition of ADB=0, ABD=0, BπABAAπ=0, BπAB2Aπ=0 for the n order matrix [WTHX]A[WT] and B. We gave representations for Drazin inverses of A+B by using the corenilpotent decomposition of matrices.

Key words: Drazin inverse, index, nilpotent matrix

CLC Number: 

  • O151.21