德拉津逆:表现，近似，连续性和例证

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2021-01-20 DOI:10.31926/but.mif.2020.13.62.2.8

Sadli Bendjedid, B. Messirdi, Sofiane Messirdi

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引用次数: 0

摘要

本文给出了Banach空间中矩阵和有界线性算子的Drazin逆的一些特征和表达式。本文综述了关于Moore-Penrose和Drazin逆的连续性的一些结果，讨论了Drazin逆的直接计算方法，这些方法基于Euler-Knopp方法，用极限过程来表征。所提供的示例是为了说明目的，其中一些用于测试所考虑的迭代过程

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Drazin inverse: representation, approximation, continuity and illustrations

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

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量