Linear representations and quasipolyhedrality of a finite-valued convex function
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Título: | Linear representations and quasipolyhedrality of a finite-valued convex function |
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Autor/es: | Fajardo, Maria Dolores | López Cerdá, Marco A. | Puente, Rubén |
Grupo/s de investigación o GITE: | Programación Semi-infinita |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | Universidad Nacional de San Luis (Argentina). Departamento de Matemáticas |
Palabras clave: | Semi-infinite linear inequality systems | Quasipolyhedral convex sets | Suddifferential set | Conjugate function | Valadier formula |
Área/s de conocimiento: | Matemáticas |
Fecha de publicación: | abr-2008 |
Editor: | Taylor & Francis |
Cita bibliográfica: | FAJARDO GÓMEZ, María Dolores; LÓPEZ CERDÁ, Marco Antonio; PUENTE, Rubén. “Linear representations and quasipolyhedrality of a finite-valued convex function”. Optimization. Vol. 57, Issue 2 (Jan. 2008). ISSN 0233-1934, pp. 215-237 |
Resumen: | The possibility of representing the epigraph of a finite-valued convex function by means of a (locally) Farkas-Minkowski linear semi-infinite inequalities system is studied in this article. Moreover, we prove that the so-called locally polyhedral representations characterize the function, giving rise to the concept of quasipolyhedral function. Conditions for its conjugate to be also quasipolyhedral are obtained, as well as the characterization of its subdifferential and eps-subdifferential in terms of an specific sequence of ordinary polyhedral functions. |
URI: | http://hdl.handle.net/10045/8374 |
ISSN: | 0233-1934 (Print) | 1029-4945 (Online) |
DOI: | 10.1080/02331930701779864 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | This is an electronic version of an article published in Optimization ©2008 Copyright Taylor & Francis; Optimization is available online at http://www.informaworld.com |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1080/02331930701779864 |
Aparece en las colecciones: | INV - LOPT - Artículos de Revistas |
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