Work

Perturbation for the Group Inverse in a Banach Algebra

Year: 2025

Type: article

Abstract: We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei. We then apply them to establish the representation of the group inverse of a+b under a kind of commutative perturbation condition. Finally, some numerical examples are given to demonstrate the main results.

Source: Axioms

DOI: 10.3390/axioms14080628

Authors: Dayong Liu, Tugce Pekacar Calci, Handan Kose, Huanyin Chen

Institutions: Central South University of Forestry and Technology, Ankara University, Fuzhou University of International Studies and Trade

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Education Department of Hunan Province