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Numerical methods for nondifferentiable convex optimization

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Nonsmooth Optimization
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Optimization—Theory and Applications
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Multiplier and gradient methods
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Partial inverse of a monotone operator
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A bundle type approach to the unconstrained minimization of convex nonsmooth functions
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Mathematical programming study 21
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A descent algorithm for nonsmooth convex optimization
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An aggregate subgradient method for nonsmooth convex minimization
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ε-Optimal solutions in nondifferentiable convex programming and some related questions
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Conference on Applications of Numerical Analysis
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Minimisation de Fonctionnelles Non-Differentiables
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An extension of davidon methods to non differentiable problems
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A method of conjugate subgradients for minimizing nondifferentiable functions
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On the convergence of a class of outer approximation algorithms for convex programs
inferredcites →https://doi.org/10.1051/m2an/196802r100431openalex-snapshot
Programmation mathématique convexe
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Brève communication. Régularisation d'inéquations variationnelles par approximations successives
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On the subdifferentiability of convex functions
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Monotone Operators and the Proximal Point Algorithm
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Iterative Solution of Nonlinear Equations in Several Variables
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Research Notes in Mathematics
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Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
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A Superlinearly Convergent Algorithm for One-Dimensional Constrained Minimization Problems with Convex Functions
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An Outer Approximation Algorithm for Solving General Convex Programs
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Convex Analysis
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Iterative Solution of Nonlinear Equations in Several Variables
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Solutions of Ill-Posed Problems.
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On the Subdifferentiability of Convex Functions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Sensitivity and stability in NLP ILL-POSED VARIATIONAL PROBLEMS
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Surver of the Methods for Nonsmooth Optimization
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Proximal Methods for Variational Inequalities with Set-Valued Monotone Operators
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A Comparison of Rates of Convergence of Two Inexact Proximal Point Algorithms
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Nonsmooth Optimization Methods
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New Multiobjective Proximal Bundle Method with Scaled Improvement Function
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Beyond First Order: V U $$\mathcal {V}\mathcal {U}$$ -Decomposition Methods
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Ill-posed Variational Problems
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Proximal and Dynamical Approaches to Equilibrium Problems
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A Projection-Proximal Bundle Method for Convex Nondifferentiable Minimization
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Multi–Step Proximal Method for Variational Inequalities with Monotone Operators
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Penalty-proximal methods in convex programming
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Nonmonotone bundle-type scheme for convex nonsmooth minimization
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Descent algorithm for a class of convex nondifferentiable functions
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The perturbed proximal point algorithm and some of its applications
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A proximal-based decomposition method for convex minimization problems
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Convergence of some algorithms for convex minimization
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A continuation method for monotone variational inequalities
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Proximity control in bundle methods for convex nondifferentiable minimization
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A family of variable metric proximal methods
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Penalization in non-classical convex programming via variational convergence
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A successive quadratic programming method for a class of constrained nonsmooth optimization problems
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A descent method with linear programming subproblems for nondifferentiable convex optimization
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Implementation of a proximal algorithm for linearly constrained nonsmooth optimization problems and computational results
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Generalized proximal point algorithm for convex optimization
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Family of perturbation methods for variational inequalities
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A quasi-second-order proximal bundle algorithm
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Variable metric bundle methods: From conceptual to implementable forms
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A decomposition method for convex minimization problems and its application
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An algorithm for large-scale linearly constrained nondifferentiable convex minimization
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A feasible directions method for nonsmooth convex optimization
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Primal and dual convergence of a proximal point exponential penalty method for linear programming
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Epsilon-proximal decomposition method
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A -algorithm for convex minimization
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A bundle-filter method for nonsmooth convex constrained optimization
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Computing proximal points of nonconvex functions
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An optimal variant of Kelley’s cutting-plane method
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Principled analyses and design of first-order methods with inexact proximal operators
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Error bounds for proximal point subproblems and associated inexact proximal point algorithms
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A bundle Bregman proximal method for convex nondifferentiable minimization
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Proximal quasi-Newton methods for nondifferentiable convex optimization
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Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization
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An effective adaptive trust region algorithm for nonsmooth minimization
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Proximal Bundle Algorithms for Nonlinearly Constrained Convex Minimax Fractional Programs
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Convergence rates of accelerated proximal gradient algorithms under independent noise
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Inexact Proximal Point Algorithms and Descent Methods in Optimization
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Conjugate gradient type methods for the nondifferentiable convex minimization
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An ODE-like nonmonotone method for nonsmooth convex optimization
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Mathematical Background
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Convex Programming
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Numerically Tractable Relaxation Schemes for Optimal Control of Hybrid and Switched Systems
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Applications of the Relaxation-Based Approach
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