Shandong Science ›› 2019, Vol. 32 ›› Issue (6): 112-117.doi: 10.3976/j.issn.1002-4026.2019.06.016

• Other Research Article • Previous Articles    

A new representation of the Drazin inverse of the sum of two matrices

YANG Xiao-ying   

  1. Department of Basic Education, Sichuan Information Technology College, Guangyuan 628017, China
  • Received:2018-11-30 Online:2019-12-20 Published:2019-12-11

Abstract: In this study, a new representation of the Drazin inverse of the sum of two matrices is provided under certain conditions based on the definition of the Drazin inverse, the matrix decomposition philosophy, and the usage of the related properties of the Drazin inverse. This new result is an expansion of some of the existing results.

Key words:  sum of matrices, Drazin inverse, matrix decomposition

CLC Number: 

  • O151.21