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Página principal > Artículos > Artículos publicados > A general nonconvex multiduality principle |
Fecha: | 2018 |
Resumen: | We introduce a (possibly infinite) collection of mutually dual nonconvex optimization problems, which share a common optimal value, and give a characterization of their global optimal solutions. As immediate consequences of our general multiduality principle, we obtain Toland-Singer duality theorem as well as an analogous result involving generalized perspective functions. Based on our duality theory, we propose an extension of an existing algorithm for the minimization of d. c. functions, which exploits Toland-Singer duality, to a more general class of nonconvex optimization problems. |
Ayudas: | Ministerio de Economía y Competitividad MTM2014-59179-C2-2-P Ministerio de Economía y Competitividad SEV-2015-0563 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Nonconvex optimization ; Multiduality ; Toland-Singer duality |
Publicado en: | Journal of optimization theory and applications, Vol. 176, Núm. 3 (2018) , p. 527-540, ISSN 1573-2878 |
Postprint 21 p, 1.1 MB |