Journal of East China Normal University(Natural Science) ›› 2023, Vol. 2023 ›› Issue (4): 35-42.doi: 10.3969/j.issn.1000-5641.2023.04.004

• Mathematics • Previous Articles     Next Articles

Characterization and representation of weighted Drazin inverse of matrices based on weighted core-EP decomposition of the pair {A,W}

Chunmei HU()   

  1. School of Mathematics and Information Technology, Lijiang Teachers College, Lijiang, Yunnan 674199, China
  • Received:2021-11-26 Online:2023-07-25 Published:2023-07-25

Abstract:

This paper presents an investigation of the weighted Drazin inverse $A^{d, W}$ of matrices based on the weighted core-EP decomposition of the pair $\{A, W\}$ . Some characterizations and representations of the weighted Drazin inverse are presented using the weighted core-EP decomposition of the pair $\{A, W\}$ . Further, the limit representations and the integral representations of the weighted Drazin inverse are discussed. Furthermore, an example is presented.

Key words: weighted Drazin inverse, weighted core-EP decomposition, limit representation, integral representation

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