![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
Several new representations of the W-weighted Drazin inverse are introduced. These representations are expressed in terms of various matrix powers as well as in terms of matrix products involving the Moore–Penrose inverse and the usual matrix inverse. Also, the properties of various generalized inverses which arise from derived representations are investigated. The computational complexity and efficiency of the proposed representations are considered. Representations are tested and compared among themselves in a substantial number of randomly generated test examples.
Acknowledgements
The authors would like to thank two anonymous referees for their helpful comments and suggestions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The first author gratefully acknowledge support from the Research Project [174013] of the Serbian Ministry of Science. The third author is supported by National Natural Science Foundation of China [grant number 11401143].