Trabajo Fin de Grado
Aplicaciones de las inversas generalizadas
Autor/es | Blanco Guillén, María Montaña |
Director | Gago Vargas, Manuel Jesús |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2017-06 |
Fecha de depósito | 2017-07-25 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | In this paper we start out the study of the generalized inverse of a matrix and
some of its applications. These applications appear in different areas where it is necessary the computation of an analogous object to the ... In this paper we start out the study of the generalized inverse of a matrix and some of its applications. These applications appear in different areas where it is necessary the computation of an analogous object to the inverse of a matrix. Mainly, we set out two problems. The first one is to solve problems of system of linear equations with constraints, where it is used the Bott-Duffin inverse of a matrix. The second one is to give a closed formula for the solution of a system of linear differential equations, and the Drazin inverse is defined to express the solution. Some examples and bibliographical references are given for each problem. |
Cita | Blanco Guillén, M.M. (2017). Aplicaciones de las inversas generalizadas. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
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