Solution Existence and Compactness Analysis for Nonsmooth Optimization Problems [PDF]
Nguyen Canh Hung +2 more
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A new method for nonsmooth convex optimization
Journal of Inequalities and Applications, 1998 A new method for minimizing a proper closed convex function is proposed and its convergence properties are studied. The convergence rate depends on both the growth speed off at minimizers and the choice of proximal parameters.
Birge JR, Wel Z, Qi L
doaj
An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex\n optimization problems [PDF]
, 2014 Radu Ioan Boţ, Ernö Robert Csetnek
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NonOpt: Nonconvex, Nonsmooth Optimizer
NonOpt, a C++ software package for minimizing locally Lipschitz objective functions, is presented. The software is intended primarily for minimizing objective functions that are nonconvex and/or nonsmooth. The package has implementations of two main algorithmic strategies: a gradient-sampling and a proximal-bundle method.
Curtis, Frank E., Zebiane, Lara
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On invex functions with same η in single and multivalued nonsmooth optimization with Clarke's subdifferential [PDF]
Ville Rinne +2 more
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Accelerated Method for Stochastic Composition Optimization with Nonsmooth Regularization [PDF]
, 2017 Zhouyuan Huo, Bin Gu, Ji Liu, Heng Huang
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M-PSGP: a momentum-based proximal scaled gradient projection algorithm for nonsmooth optimization with application to image deblurring. [PDF]
Front Big DataNing K, Lü Q, Liao X.
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Second order optimality conditions in nonsmooth unconstrained optimization
, 1998 Summary: Second order necessary and sufficient conditions are given for a nonsmooth function \(f\) defined in a Banach space to attain a minimum at a point in the interior of its domain. At the beginning sufficient conditions in terms of Riemann type derivatives are introduced.
IVANOV, IVAN GINCHEV, GUERRAGGIO, ANGELO
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Radial Epiderivative Based Fritz John and KKT Conditions in Nonsmooth Nonconvex Optimization [PDF]
Refail Kasımbeyli +2 more
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