Artículo
Improving Interval Analysis Bounds by Translations
Autor/es | Carrizosa Priego, Emilio José
Hansen, Pierre Messine, Frédéric |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 2003-08-26 |
Fecha de depósito | 2021-04-26 |
Publicado en |
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Resumen | We explore how a simple linear change of variable affects the inclusion functions obtained with Interval Analysis methods. Univariate and multivariate polynomial test functions are considered, showing that translation-based ... We explore how a simple linear change of variable affects the inclusion functions obtained with Interval Analysis methods. Univariate and multivariate polynomial test functions are considered, showing that translation-based methods improve considerably the bounds computed by standard inclusion functions. An Interval Branch-and-Bound method for global optimization is then implemented to compare the different procedures, showing that, although with times higher than those given by Taylor forms, the number of clusters and iterations is strongly reduced. |
Cita | Carrizosa Priego, E.J., Hansen, P. y Messine, F. (2003). Improving Interval Analysis Bounds by Translations. Journal of Global Optimization, 29 (2), 157-172. |
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