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Authordc.contributor.authorBaillon, Jean-Bernard 
Authordc.contributor.authorCombettes, P. L. es_CL
Authordc.contributor.authorCominetti Cotti-Cometti, Roberto es_CL
Admission datedc.date.accessioned2012-05-23T16:26:37Z
Available datedc.date.available2012-05-23T16:26:37Z
Publication datedc.date.issued2012-01-01
Cita de ítemdc.identifier.citationJOURNAL OF FUNCTIONAL ANALYSIS Volume: 262 Issue: 1 Pages: 400-408 Published: JAN 1 2012es_CL
Identifierdc.identifier.otherDOI: 10.1016/j.jfa.2011.09.002
Identifierdc.identifier.urihttps://repositorio.uchile.cl/handle/2250/125600
Abstractdc.description.abstractThe method of periodic projections consists in iterating projections onto in closed convex subsets of a Hilbert space according to a periodic sweeping strategy. In the presence of in m >= 3 sets, a long-standing question going back to the 1960s is whether the limit cycles obtained by such a process can be characterized as the minimizers of a certain functional. In this paper we answer this question in the negative. Projection algorithms for minimizing smooth convex functions over a product of convex sets are also discussed.es_CL
Patrocinadordc.description.sponsorshipAgence Nationale de la Recherche ANR-08-BLAN-0294-02 FONDECYT 1100046 Instituto Milenio Sistemas Complejos en Ingenieriaes_CL
Lenguagedc.language.isoenes_CL
Publisherdc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEes_CL
Keywordsdc.subjectAlternating projectionses_CL
Títulodc.titleThere is no variational characterization of the cycles in the method of periodic projectionses_CL
Document typedc.typeArtículo de revista


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