Cline's formula for G-Drazin inverse

2018/05/16 by Huanyin Chen, Chen, Huanyin, Abdolyousefi, Marjan Sheibani
Computer Science · Mathematics · #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Numerical methods in inverse problems #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1805.06133

openalex publication_date 2018/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Clines formula for the well known generalized inverses such as Drazin inverse, generalized Drazin inverse is extended to the case when a(ba)²=abaca=acaba=(ac)²a . Applications are given to some interesting Banach space operators.

Related

• Generalized Cline's formula for G-Drazin inverse in a ring
• Generalized Cline's Formula for G-Drazin Inverse
• Additive properties of G-Drazin inverse of linear operators
• Generalized Jacobson's lemma for generalized Drazin inverses
• Representation of the g-Drazin inverse in a Banach algebra