Proximity for sums of composite functions

We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical analysis and applications 2011-08, Vol.380 (2), p.680-688
Hauptverfasser:	Combettes, Patrick L., Dũng, Đinh, Vũ, Bằng Công
Format:	Artikel
Sprache:	eng
Schlagworte:	Best approximation Calculus of variations and optimal control Convex optimization Duality Elastic net Exact sciences and technology Functional analysis Image recovery Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization and Control Proximal splitting algorithm Proximity operator Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2011.02.079