Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯. (24th February 2023)

• Record Type: Journal Article
• Authors: Sheng, Xingping
• Other Names: Stanimirović Predrag S. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2023(2023)
• Publication Date: 2023-02-24
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2023/4110507
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, the algebraic perturbation theorems of the core inverse A ㊮ and core-EP inverse A ㊯ are discussed for a square singular matrix A with different indices, and the expressions of the algebraic perturbation for these two new generalized inverses are presented. As their applications, some properties of the core inverse A ㊮ and core-EP inverse A ㊯ are proven again by using the expressions of their algebraic perturbation. In the last section, two numerical examples are considered to demonstrate the main results.