Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding

Convergence analysis is carried out for a forward-backward splitting/generalized gradient projection method for the minimization of a special class of non-smooth and genuinely non-convex minimization problems in infinite-dimensional Hilbert spaces. The functionals under consideration are the sum of...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 165; no. 1; pp. 78 - 112
Main Authors:	Bredies, Kristian, Lorenz, Dirk A., Reiterer, Stefan
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.04.2015 Springer Nature B.V
Subjects:	Algebra Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Convex analysis Data recovery Engineering Functionals Hilbert space Inverse problems Iterative methods Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Methods Minimization Operations Research/Decision Theory Optimization Partial differential equations Projection Splitting Studies Theory of Computation Gradient projection method 65K10 Non-convex optimization Iterative thresholding 49M05 Non-smooth optimization
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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