Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯

Xingping Sheng and Predrag S. Stanimirović

Journal of Mathematics, 2023, vol. 2023, 1-10

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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4110507

DOI: 10.1155/2023/4110507

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