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A quasi-second-order proximal bundle algorithm

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

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Nondifferentiable Optimization
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Convex analysis and minimization algorithms
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Convex Analysis and Minimization Algorithms II
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Variational quasi-Newton methods for unconstrained optimization
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Newton's method for convex programming and Tchebycheff approximation
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A nonsmooth version of Newton's method
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The least prior deviation quasi-Newton update
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Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions
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Convergence of some algorithms for convex minimization
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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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Applications of the method of partial inverses to convex programming: Decomposition
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On superlinear convergence in univariate nonsmooth minimization
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Convergence of quasi-Newton matrices generated by the symmetric rank one update
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Resolving degeneracy in quadratic programming
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A descent algorithm for nonsmooth convex optimization
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Stationarity and superlinear convergence of an algorithm for univariate locally lipschitz constrained minimization
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Better than linear convergence and safeguarding in nonsmooth minimization
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An approach to variable metric bundle methods
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A method of conjugate subgradients for minimizing nondifferentiable functions
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Numerical methods for nondifferentiable convex optimization
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Mathematical Programming
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Chapter VII Nondifferentiable optimization
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Brève communication. Régularisation d'inéquations variationnelles par approximations successives
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The Cutting-Plane Method for Solving Convex Programs
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Monotone Operators and the Proximal Point Algorithm
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A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
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A Theoretical and Experimental Study of the Symmetric Rank-One Update
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Practical Optimization
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Quasi-Newton Methods, Motivation and Theory
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Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
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Convex Analysis
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Nondifferentiable Optimization
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Proximité et dualité dans un espace hilbertien
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Lagrangian Decomposition and Nonsmooth Optimization: Bundle Algorithm, Prox Iteration, Augmented Lagrangian

What points at this work

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

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A quasi-Newton bundle method based on approximate subgradients
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