The core-EP inverse: A numerical approach for its acute perturbation
[EN] This paper studies the concept of stable perturbation B E Cnxn for the core-EP inverse of a matrix A E Cnxn with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inverse B and its projection at zero are presented. Then, the perturbation bounds of B-A/A and B-...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::0f8523e73dc5029f312be9595bae40e8 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/234028 |
| Access Level: | acceso abierto |
| Palabra clave: | Core inverse Core-EP inverse Stable perturbation Acute perturbation |
| Sumario: | [EN] This paper studies the concept of stable perturbation B E Cnxn for the core-EP inverse of a matrix A E Cnxn with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inverse B and its projection at zero are presented. Then, the perturbation bounds of B-A/A and B-A are given provided that B is a stable perturbation of A. In addition, we investigate the concept of acute perturbation of A. We give a perturbation analysis with respect to core-EP inverses. We provide a condition under which the acute perturbation coincides with the stable perturbation for core-EP inverses. |
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