Additive properties of G-Drazin inverse of linear operators

2019/05/27 by Huanyin Chen, Chen, Huanyin, Marjan Sheibani +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods in inverse problems #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1905.11095

openalex publication_date 2019/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate additive properties of generalized Drazin inverse for linear operators in Banach spaces. Under new polynomial conditions on generalized Drazin invertible operators a and b, we prove their sum has generalized Drazin inverse and give explicit representations of the generalized inverse (a+b)^d.

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