Título: Global convergence of a non-convex Douglas–Rachford iteration
Autores: Aragón Artacho, Francisco Javier
Borwein, Jonathan M.
Fecha: 2013-06-19
2013-06-19
2012-07-13
Publicador: RUA Docencia
Fuente:
Tipo: info:eu-repo/semantics/article
Tema: Non-convex feasibility problem
Fixed point theory
Projection algorithm
Douglas–Rachford algorithm
Global convergence
Signal reconstruction
Estadística e Investigación Operativa
Análisis Matemático
Descripción: We establish a region of convergence for the proto-typical non-convex Douglas–Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration Borwein and Sims (Fixed-point algorithms for inverse problems in science and engineering, pp. 93–109, 2011) was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.
Idioma: Inglés

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