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A product space reformulation with reduced dimension for splitting algorithms

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A product space reformulation with reduced dimension for splitting algorithms

dc.contributor.author	Campoy, Rubén
dc.date.accessioned	2023-06-15T08:20:47Z
dc.date.available	2023-06-16T04:45:06Z
dc.date.issued	2022	es_ES
dc.identifier.citation	Campoy, R. (2022). A product space reformulation with reduced dimension for splitting algorithms. Computational Optimization and Applications, 83 (1), 319-348.	es_ES
dc.identifier.uri	https://hdl.handle.net/10550/87917
dc.description.abstract	In this paper we propose a product space reformulation to transform monotone inclusions described by finitely many operators on a Hilbert space into equivalent two-operator problems. Our approach relies on Pierra’s classical reformulation with a different decomposition, which results in a reduction of the dimension of the outcoming product Hilbert space. We discuss the case of not necessarily convex feasibility and best approximation problems. By applying existing splitting methods to the proposed reformulation we obtain new parallel variants of them with a reduction in the number of variables. The convergence of the new algorithms is straightforwardly derived with no further assumptions. The computational advantage is illustrated through some numerical experiments.	es_ES
dc.language.iso	en	es_ES
dc.publisher	Springer	es_ES
dc.subject	pierra’s product space reformulation	es_ES
dc.subject	splitting algorithm	es_ES
dc.subject	douglas – rachford algorithm	es_ES
dc.subject	monotone inclusions	es_ES
dc.subject	feasibility problem	es_ES
dc.subject	projection methods	es_ES
dc.title	A product space reformulation with reduced dimension for splitting algorithms	es_ES
dc.type	journal article	es_ES
dc.subject.unesco	UNESCO::CIENCIAS TECNOLÓGICAS	es_ES
dc.identifier.doi	10.1007/s10589-022-00395-7	es_ES
dc.accrualmethod	CI	es_ES
dc.embargo.terms	0 days	es_ES
dc.type.hasVersion	VoR	es_ES
dc.rights.accessRights	open access	es_ES