Uma abordagem geométrica da teoria de inversas generalizadas
A geometrical approach regarding to vectorial subspaces and linear projectors is used to present the Moore-Penrose generalized inversion theory. Its main properties are acquired by this method. Some properties of the normal equations are demonstrated as well. A generalization from this Moore-Penrose...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Brasil |
| Institución: | Universidade Federal de Lavras (UFLA) |
| Repositorio: | Repositório Institucional da UFLA |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufla.br:1/3637 |
| Acceso en línea: | https://repositorio.ufla.br/handle/1/3637 |
| Access Level: | acceso abierto |
| Palabra clave: | Estatística Algebra linear Inversa generalizada Matriz particionada Modelos lineares Generalized inverses Partitioned matrices Linear models |
| Sumario: | A geometrical approach regarding to vectorial subspaces and linear projectors is used to present the Moore-Penrose generalized inversion theory. Its main properties are acquired by this method. Some properties of the normal equations are demonstrated as well. A generalization from this Moore-Penrose inverse geometric interpretation is applied to the reflexive inverses overall. The minimum square inverse is particularly demonstrated geometrically. |
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