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...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4110507 |
| _version_ | 1797858191350956032 |
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| author | Xingping Sheng |
| author_facet | Xingping Sheng |
| author_sort | Xingping Sheng |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T21:09:17Z |
| format | Article |
| id | doaj.art-02492d938c204ce2810e148764cc03c8 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-09T21:09:17Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-02492d938c204ce2810e148764cc03c82023-03-29T00:00:12ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/4110507Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯Xingping Sheng0School of Mathematics and StatisticsIn 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.http://dx.doi.org/10.1155/2023/4110507 |
| spellingShingle | Xingping Sheng Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ Journal of Mathematics |
| title | Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ |
| title_full | Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ |
| title_fullStr | Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ |
| title_full_unstemmed | Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ |
| title_short | Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯ |
| title_sort | algebraic perturbation theorems of core inverse a㊮ and core ep inverse a㊯ |
| url | http://dx.doi.org/10.1155/2023/4110507 |
| work_keys_str_mv | AT xingpingsheng algebraicperturbationtheoremsofcoreinverseaandcoreepinversea |