Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯
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 pr...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4110507 |
| Summary: | 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. |
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| ISSN: | 2314-4785 |