Further representations and computations of the generalized Moore-Penrose inverse

Autor: Kezheng Zuo, Yang Chen, Li Yuan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 10, Pp 23442-23458 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231191?viewType=HTML
Popis: The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.
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