Recent Developments on Primal–Dual Splitting Methods with Applications to Convex Minimization

DOI10.1007/978-1-4939-1124-0_3zbMath1327.90196OpenAlexW146863456MaRDI QIDQ4983076

Christopher Hendrich, Ernö Robert Csetnek, Radu Ioan Boţ

Publication date: 14 April 2015

Published in: Mathematics Without Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1124-0_3

zbMATH Keywords

convex optimizationclusteringdualityoperator splittingsubdifferentialportfolio optimizationimage denoisingimage deblurringmaximally monotone operatorstrongly monotone operatormonotone inclusion problemprimal-dual splitting methodHeron problemsupport vector machine learning

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical methods involving duality (49M29) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items (4)

Asymmetric forward-backward-adjoint splitting for solving monotone inclusions involving three operators ⋮ Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twists ⋮ Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng's F-B four-operator splitting method for solving monotone inclusions ⋮ Dualize, split, randomize: toward fast nonsmooth optimization algorithms

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