Drazin inverse: representation, approximation, continuity and illustrations
Sadli Bendjedid, Bekkai Messirdi, Sofiane Messirdi · Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science · 2020
In this paper, we present some characteristics and expressions of the Drazin inverse for matrices and bounded linear operators in Banach spaces. We give a survey of some of results on the continuity of the Moore-Penrose and Drazin inverse, direct technics for computing the Drazin inverse are discussed, they are based on Euler-Knopp Method and characterized in terms of a limiting process. The examples presented are for illustrative purposes, some of which are provided for testing the considered iterative processes