A block coordinate variable metric forward–backward algorithm

A number of recent works have emphasized the prominent role played by the Kurdyka-Łojasiewicz inequality for proving the convergence of iterative algorithms solving possibly nonsmooth/nonconvex optimization problems. In this work, we consider the minimization of an objective function satisfying this...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 66; no. 3; pp. 457 - 485
Main Authors:	Chouzenoux, Emilie, Pesquet, Jean-Christophe, Repetti, Audrey
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2016 Springer Springer Nature B.V Springer Verlag
Subjects:	Algorithms Computer Science Convergence Convex analysis Efficiency Engineering Sciences Inequalities Mathematical analysis Mathematics Mathematics and Statistics Minimization Operations Research/Decision Theory Optimization Real Functions Signal and Image processing Strategy Studies 68U10 Nonconvex optimization Phase retrieval Proximity operator Block coordinate descent Alternating minimization 90C26 90C05 Inverse problems 90C25 94A08 65K10 Nonsmooth optimization 49M27 65F08 Majorize–Minimize algorithm Majorize-Minimize algorithm
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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