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A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization

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

inferredcites →https://doi.org/10.1007/bf01582105openalex-snapshot
A stable method for solving certain constrained least squares problems
inferredcites →https://doi.org/10.1007/bf01585109openalex-snapshot
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions
inferredcites →https://doi.org/10.1007/bfb0120957openalex-snapshot
Optimality conditions for piecewise smooth functions
inferredcites →https://doi.org/10.1090/s0002-9947-1975-0367131-6openalex-snapshot
Generalized Gradients and Applications
inferredcites →https://doi.org/10.1137/0315061openalex-snapshot
Semismooth and Semiconvex Functions in Constrained Optimization
inferredcites →https://doi.org/10.1287/moor.2.2.191openalex-snapshot
An Algorithm for Constrained Optimization with Semismooth Functions
inferredcites →https://doi.org/10.1515/9783111506975-011openalex-snapshot
8. Nonlinear Programming

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

inferred← citeshttps://doi.org/10.1007/3-540-62598-4_129openalex-snapshot
On a feasible descent algorithm for solving min-max problems
inferred← citeshttps://doi.org/10.1007/978-0-387-34897-1_48openalex-snapshot
Nondifferentiable optimization solver: basic theoretical assumptions
inferred← citeshttps://doi.org/10.1007/978-1-4613-0287-2_13openalex-snapshot
Surver of the Methods for Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4614-0769-0_12openalex-snapshot
Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects
inferred← citeshttps://doi.org/10.1007/978-1-4757-3226-9_6openalex-snapshot
Fixed and virtual stability center methods for convex nonsmooth minimization
inferred← citeshttps://doi.org/10.1007/978-1-4757-5233-5_5openalex-snapshot
Nonsmooth Optimization Methods
inferred← citeshttps://doi.org/10.1007/978-1-4757-6019-4_27openalex-snapshot
The BT-Algorithm for Minimizing a Nonsmooth Functional Subject to Linear Constraints
inferred← citeshttps://doi.org/10.1007/978-3-030-19462-8_7openalex-snapshot
Methods for Nonlinearly Constrained Problems
inferred← citeshttps://doi.org/10.1007/978-3-030-34910-3_12openalex-snapshot
Bundle Methods for Inexact Data
inferred← citeshttps://doi.org/10.1007/978-3-030-34910-3_4openalex-snapshot
A Second Order Bundle Algorithm for Nonsmooth, Nonconvex Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-3-030-37826-4_3openalex-snapshot
Nonsmooth Optimization Methods
inferred← citeshttps://doi.org/10.1007/978-3-031-76512-4_3openalex-snapshot
Nonsmooth Optimization Methods
inferred← citeshttps://doi.org/10.1007/978-3-319-23564-6_12openalex-snapshot
Proximal Bundle Method for Nonsmooth and Nonconvex Multiobjective Optimization
inferred← citeshttps://doi.org/10.1007/978-3-319-30265-2_18openalex-snapshot
Numerical Methods for Large-Scale Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1007/978-3-662-12603-5_19openalex-snapshot
Descent Methods for Nonsmooth Convex Constrained Minimization
inferred← citeshttps://doi.org/10.1007/978-3-662-12603-5_3openalex-snapshot
Bundle Methods, Cutting-Plane Algorithms and σ-Newton Directions
inferred← citeshttps://doi.org/10.1007/978-3-662-21637-8_11openalex-snapshot
Issues of Effectiveness Arising in the Design of a System of Nondifferentiable Optimization Algorithms
inferred← citeshttps://doi.org/10.1007/bf00939607openalex-snapshot
Nonmonotone bundle-type scheme for convex nonsmooth minimization
inferred← citeshttps://doi.org/10.1007/bf00939925openalex-snapshot
New variable-metric algorithms for nondifferentiable optimization problems
inferred← citeshttps://doi.org/10.1007/bf00940570openalex-snapshot
A method for minimizing the sum of a convex function and a continuously differentiable function
inferred← citeshttps://doi.org/10.1007/bf00941285openalex-snapshot
Decomposition method of descent for minimizing the sum of convex nonsmooth functions
inferred← citeshttps://doi.org/10.1007/bf01299391openalex-snapshot
A regularized stochastic decomposition algorithm for two-stage stochastic linear programs
inferred← citeshttps://doi.org/10.1007/bf01391417openalex-snapshot
A quadratic approximation method for minimizing a class of quasidifferentiable functions
inferred← citeshttps://doi.org/10.1007/bf01397543openalex-snapshot
A constraint linearization method for nondifferentiable convex minimization
inferred← citeshttps://doi.org/10.1007/bf01443620openalex-snapshot
Descent methods for quasidifferentiable minimization
inferred← citeshttps://doi.org/10.1007/bf01580582openalex-snapshot
A method of linearizations for linearly constrained nonconvex nonsmooth minimization
inferred← citeshttps://doi.org/10.1007/bf01582892openalex-snapshot
Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization
inferred← citeshttps://doi.org/10.1007/bf01584381openalex-snapshot
A new algorithm for solving variational inequalities with application to the traffic assignment problem
inferred← citeshttps://doi.org/10.1007/bf01585109openalex-snapshot
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions
inferred← citeshttps://doi.org/10.1007/bf01585555openalex-snapshot
New variants of bundle methods
inferred← citeshttps://doi.org/10.1007/bf01585731openalex-snapshot
Proximity control in bundle methods for convex nondifferentiable minimization
inferred← citeshttps://doi.org/10.1007/bf01592242openalex-snapshot
A descent method with linear programming subproblems for nondifferentiable convex optimization
inferred← citeshttps://doi.org/10.1007/bf02060937openalex-snapshot
Nondifferentiable optimization via smooth approximation: General analytical approach
inferred← citeshttps://doi.org/10.1007/bf02142674openalex-snapshot
Implementation of a proximal algorithm for linearly constrained nonsmooth optimization problems and computational results
inferred← citeshttps://doi.org/10.1007/bf02239973openalex-snapshot
A subgradient selection method for minimizing convex functions subject to linear constraints
inferred← citeshttps://doi.org/10.1007/bf02591883openalex-snapshot
A descent algorithm for nonsmooth convex optimization
inferred← citeshttps://doi.org/10.1007/bf02591907openalex-snapshot
An aggregate subgradient method for nonsmooth convex minimization
inferred← citeshttps://doi.org/10.1007/bf02680566openalex-snapshot
A bundle-Newton method for nonsmooth unconstrained minimization
inferred← citeshttps://doi.org/10.1007/bfb0007157openalex-snapshot
Finite element approximation of an optimal design problem for free vibrating plates
inferred← citeshttps://doi.org/10.1007/bfb0008364openalex-snapshot
An algorithm for large-scale linearly constrained nondifferentiable convex minimization
inferred← citeshttps://doi.org/10.1007/bfb0008368openalex-snapshot
On the methods of nonsmooth optimization
inferred← citeshttps://doi.org/10.1007/bfb0008904openalex-snapshot
A linearization algorithm for constrained nonsmooth minimization
inferred← citeshttps://doi.org/10.1007/bfb0008905openalex-snapshot
Better than linear convergence and safeguarding in nonsmooth minimization
inferred← citeshttps://doi.org/10.1007/bfb0120066openalex-snapshot
Adaptive variable metric methods for nondifferentiable optimization problems
inferred← citeshttps://doi.org/10.1007/bfb0121139openalex-snapshot
A linearization method for minimizing certain quasidifferentiable functions
inferred← citeshttps://doi.org/10.1007/s00498-014-0135-9openalex-snapshot
Minimizing memory effects of a system
inferred← citeshttps://doi.org/10.1007/s10107-004-0553-4openalex-snapshot
Non-euclidean restricted memory level method for large-scale convex optimization
inferred← citeshttps://doi.org/10.1007/s10107-006-0728-2openalex-snapshot
Globally convergent limited memory bundle method for large-scale nonsmooth optimization
inferred← citeshttps://doi.org/10.1007/s10107-007-0123-7openalex-snapshot
A bundle-filter method for nonsmooth convex constrained optimization
inferred← citeshttps://doi.org/10.1007/s10107-007-0124-6openalex-snapshot
Computing proximal points of nonconvex functions
inferred← citeshttps://doi.org/10.1007/s10107-013-0737-xopenalex-snapshot
Bundle-level type methods uniformly optimal for smooth and nonsmooth convex optimization
inferred← citeshttps://doi.org/10.1007/s10107-023-02035-2openalex-snapshot
A single cut proximal bundle method for stochastic convex composite optimization
inferred← citeshttps://doi.org/10.1007/s10287-012-0139-1openalex-snapshot
Solving generation expansion planning problems with environmental constraints by a bundle method
inferred← citeshttps://doi.org/10.1007/s10288-019-00425-xopenalex-snapshot
Essentials of numerical nonsmooth optimization
inferred← citeshttps://doi.org/10.1007/s10479-021-04498-yopenalex-snapshot
Essentials of numerical nonsmooth optimization
inferred← citeshttps://doi.org/10.1007/s10559-020-00240-xopenalex-snapshot
Generalized Gradients in Dynamic Optimization, Optimal Control, and Machine Learning Problems*
inferred← citeshttps://doi.org/10.1007/s10589-015-9762-4openalex-snapshot
A proximal bundle method for nonsmooth nonconvex functions with inexact information
inferred← citeshttps://doi.org/10.1007/s10589-016-9834-0openalex-snapshot
Nonconvex bundle method with application to a delamination problem
inferred← citeshttps://doi.org/10.1007/s10589-018-0048-5openalex-snapshot
A simple version of bundle method with linear programming
inferred← citeshttps://doi.org/10.1007/s10589-019-00115-8openalex-snapshot
A new infeasible proximal bundle algorithm for nonsmooth nonconvex constrained optimization
inferred← citeshttps://doi.org/10.1007/s10898-017-0565-2openalex-snapshot
A proximal bundle method for constrained nonsmooth nonconvex optimization with inexact information
inferred← citeshttps://doi.org/10.1007/s10898-019-00757-2openalex-snapshot
Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs
inferred← citeshttps://doi.org/10.1007/s10898-020-00939-3openalex-snapshot
A filter proximal bundle method for nonsmooth nonconvex constrained optimization
inferred← citeshttps://doi.org/10.1007/s10957-013-0354-0openalex-snapshot
Derivative-Free Optimization Via Proximal Point Methods
inferred← citeshttps://doi.org/10.1007/s10957-014-0523-9openalex-snapshot
Constrained Nonconvex Nonsmooth Optimization via Proximal Bundle Method
inferred← citeshttps://doi.org/10.1007/s10957-014-0666-8openalex-snapshot
Diagonal Bundle Method for Nonsmooth Sparse Optimization
inferred← citeshttps://doi.org/10.1007/s10957-016-0955-5openalex-snapshot
Testing Different Nonsmooth Formulations of the Lennard–Jones Potential in Atomic Clustering Problems
inferred← citeshttps://doi.org/10.1007/s10957-017-1108-1openalex-snapshot
Rate of Convergence of the Bundle Method
inferred← citeshttps://doi.org/10.1007/s10957-018-1342-1openalex-snapshot
Proximal Bundle Algorithms for Nonlinearly Constrained Convex Minimax Fractional Programs
inferred← citeshttps://doi.org/10.1007/s10957-019-01500-3openalex-snapshot
Nonsmooth and Nonconvex Optimization via Approximate Difference-of-Convex Decompositions
inferred← citeshttps://doi.org/10.1007/s10957-026-02937-zopenalex-snapshot
Proximal Oracles for Optimization and Sampling
inferred← citeshttps://doi.org/10.1007/s10999-008-9077-zopenalex-snapshot
Advances in computational contact mechanics
inferred← citeshttps://doi.org/10.1007/s11075-022-01419-3openalex-snapshot
Spectral projected subgradient method for nonsmooth convex optimization problems
inferred← citeshttps://doi.org/10.1016/0009-2509(90)80175-eopenalex-snapshot
Automatic synthesis of mass-exchange networks with single-component targets
inferred← citeshttps://doi.org/10.1016/0022-247x(85)90061-7openalex-snapshot
An algorithm for linearly constrained convex nondifferentiable minimization problems
inferred← citeshttps://doi.org/10.1016/0167-6377(91)90090-copenalex-snapshot
A tilted cutting plane proximal bundle method for convex nondifferentiable optimization
inferred← citeshttps://doi.org/10.1016/0377-0427(86)90075-0openalex-snapshot
An aggregate subgradient method for nonsmooth and nonconvex minimization
inferred← citeshttps://doi.org/10.1016/0377-2217(93)90108-yopenalex-snapshot
Some experiments on heuristic code selection versus numerical performance in nonlinear programming
inferred← citeshttps://doi.org/10.1016/j.amc.2007.08.044openalex-snapshot
Limited memory interior point bundle method for large inequality constrained nonsmooth minimization
inferred← citeshttps://doi.org/10.1016/j.camwa.2007.11.034openalex-snapshot
A bundle-type auxiliary problem method for solving generalized variational-like inequalities
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.07.033openalex-snapshot
A partially inexact bundle method for convex semi-infinite minmax problems
inferred← citeshttps://doi.org/10.1016/j.ejor.2017.06.010openalex-snapshot
New diagonal bundle method for clustering problems in large data sets
inferred← citeshttps://doi.org/10.1016/s0020-7403(00)00095-3openalex-snapshot
Solution of dynamic frictional contact problems using nondifferentiable optimization
inferred← citeshttps://doi.org/10.1016/s0169-7161(05)80131-2openalex-snapshot
7 Mathematical programming — A computational perspective
inferred← citeshttps://doi.org/10.1016/s0927-0507(03)10003-5openalex-snapshot
Decomposition Methods
inferred← citeshttps://doi.org/10.1016/s0927-0507(89)01008-xopenalex-snapshot
Chapter VII Nondifferentiable optimization
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)61208-4openalex-snapshot
An Algorithm for Optimization Problems with Singular Values of Control Systems
inferred← citeshttps://doi.org/10.1023/a:1008224107486openalex-snapshot
Global Interval Methods for Local Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1023/a:1019232731587openalex-snapshot
Primal—Dual Constraint Aggregation with Application to Stochastic Programming
inferred← citeshttps://doi.org/10.1023/b:opte.0000042032.47856.e5openalex-snapshot
Parametric Optimization of Hybrid Car Engines
inferred← citeshttps://doi.org/10.1051/ro/2025063openalex-snapshot
Proximal bundle methods for generalized fractional programs with ratios of difference of convex functions
inferred← citeshttps://doi.org/10.1080/01630563.2016.1138969openalex-snapshot
A Second-Order Bundle Method Based on -Decomposition Strategy for a Special Class of Eigenvalue Optimizations
inferred← citeshttps://doi.org/10.1080/02331930902884398openalex-snapshot
Adaptive limited memory bundle method for bound constrained large-scale nonsmooth optimization
inferred← citeshttps://doi.org/10.1080/02331934.2012.687736openalex-snapshot
Limited memory discrete gradient bundle method for nonsmooth derivative-free optimization
inferred← citeshttps://doi.org/10.1080/02331934.2016.1171865openalex-snapshot
Diagonal discrete gradient bundle method for derivative free nonsmooth optimization
inferred← citeshttps://doi.org/10.1080/02331934.2020.1777124openalex-snapshot
Reduced subgradient bundle method for linearly constrained non-smooth non-convex problems
inferred← citeshttps://doi.org/10.1080/02331939208843808openalex-snapshot
Variants to the cutting plane approach for convex nondifferentiable optimization
inferred← citeshttps://doi.org/10.1080/10556780290027828openalex-snapshot
Survey of Bundle Methods for Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1080/10556780802264071openalex-snapshot
Non-smoothness in classification problems
inferred← citeshttps://doi.org/10.1080/10556780902842495openalex-snapshot
Limited memory bundle method for large bound constrained nonsmooth optimization: convergence analysis
inferred← citeshttps://doi.org/10.1080/10556780903236911openalex-snapshot
Gradient set splitting in nonconvex nonsmooth numerical optimization
inferred← citeshttps://doi.org/10.1080/10556788.2013.854358openalex-snapshot
A proximal alternating linearization method for nonconvex optimization problems
inferred← citeshttps://doi.org/10.1080/10556788.2017.1389941openalex-snapshot
Diagonal bundle method with convex and concave updates for large-scale nonconvex and nonsmooth optimization
inferred← citeshttps://doi.org/10.1080/10556788.2025.2475518openalex-snapshot
A bundle trust-region algorithm for nonsmooth nonconvex constrained optimization
inferred← citeshttps://doi.org/10.1090/s0025-5718-1985-0790650-5openalex-snapshot
An Algorithm for Nonsmooth Convex Minimization With Errors
inferred← citeshttps://doi.org/10.1093/imanum/drab091openalex-snapshot
A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds
inferred← citeshttps://doi.org/10.1093/imanum/drz008openalex-snapshot
A self-correcting variable-metric algorithm framework for nonsmooth optimization
inferred← citeshttps://doi.org/10.1109/82.566644openalex-snapshot
Optimal design of partial-band time-varying systems
inferred← citeshttps://doi.org/10.1109/ijcnn.1991.170522openalex-snapshot
Learning in feedforward networks with nonsmooth functions: an I/sub infinity / example
inferred← citeshttps://doi.org/10.1109/wsc57314.2022.10015293openalex-snapshot
A Proximal Algorithm for Sampling from Non-Smooth Potentials
inferred← citeshttps://doi.org/10.1137/040603875openalex-snapshot
An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter
inferred← citeshttps://doi.org/10.1137/050647566openalex-snapshot
A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems
inferred← citeshttps://doi.org/10.1137/0801006openalex-snapshot
Minimization of Locally Lipschitzian Functions
inferred← citeshttps://doi.org/10.1137/0802008openalex-snapshot
A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
inferred← citeshttps://doi.org/10.1137/0804040openalex-snapshot
Large-Scale, Nonlinearly Constrained Optimization on a 1024-Processor n CUBE
inferred← citeshttps://doi.org/10.1137/0806013openalex-snapshot
Restricted Step and Levenberg–Marquardt Techniques in Proximal Bundle Methods for Nonconvex Nondifferentiable Optimization
inferred← citeshttps://doi.org/10.1137/090754595openalex-snapshot
A Redistributed Proximal Bundle Method for Nonconvex Optimization
inferred← citeshttps://doi.org/10.1137/18m1199708openalex-snapshot
Duality Results and Dual Bundle Methods Based on the Dual Method of Centers for Minimax Fractional Programs
inferred← citeshttps://doi.org/10.1137/21m1428601openalex-snapshot
Optimal Convergence Rates for the Proximal Bundle Method
inferred← citeshttps://doi.org/10.1137/21m1465445openalex-snapshot
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods
inferred← citeshttps://doi.org/10.1137/22m1490995openalex-snapshot
A Sequential Quadratic Programming Algorithm for Nonsmooth Problems with Upper- \({\boldsymbol{\mathcal{C}^2}}\) Objective
inferred← citeshttps://doi.org/10.1137/s1052623498332336openalex-snapshot
Dual Applications of Proximal Bundle Methods, Including Lagrangian Relaxation of Nonconvex Problems
inferred← citeshttps://doi.org/10.1145/383738.383740openalex-snapshot
Algorithm 811: NDA
inferred← citeshttps://doi.org/10.1155/2013/439012openalex-snapshot
Advances in Nonlinear Analysis and Optimization
inferred← citeshttps://doi.org/10.1155/2013/697474openalex-snapshot
An Approximate Quasi-Newton Bundle-Type Method for Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1214/17-ejs1233openalex-snapshot
Optimal prediction for sparse linear models? Lower bounds for coordinate-separable M-estimators
inferred← citeshttps://doi.org/10.1287/ijoo.2022.0073openalex-snapshot
Gradient Sampling Methods with Inexact Subproblem Solutions and Gradient Aggregation
inferred← citeshttps://doi.org/10.1287/moor.10.2.185openalex-snapshot
A Linearization Algorithm for Nonsmooth Minimization
inferred← citeshttps://doi.org/10.1287/moor.13.3.512openalex-snapshot
A Geometrically Convergent Subgradient Optimization Method for Nonlinearly Constrained Convex Programs
inferred← citeshttps://doi.org/10.1287/moor.17.1.112openalex-snapshot
On the Convergence of Algorithms with Implications for Stochastic and Nondifferentiable Optimization
inferred← citeshttps://doi.org/10.1287/moor.2017.0873openalex-snapshot
Minimizing Piecewise-Concave Functions Over Polyhedra
inferred← citeshttps://doi.org/10.1287/moor.2023.1372openalex-snapshot
A Unified Analysis of a Class of Proximal Bundle Methods for Solving Hybrid Convex Composite Optimization Problems
inferred← citeshttps://doi.org/10.1287/moor.8.2.185openalex-snapshot
A Superlinearly Convergent Algorithm for One-Dimensional Constrained Minimization Problems with Convex Functions
inferred← citeshttps://doi.org/10.3390/math8020265openalex-snapshot
Modified Accelerated Bundle-Level Methods and Their Application in Two-Stage Stochastic Programming
inferred← citeshttps://doi.org/10.3934/jimo.2018128openalex-snapshot
Dual algorithms based on the proximal bundle method for solving convex minimax fractional programs
inferred← citeshttps://doi.org/10.3934/jimo.2023057openalex-snapshot
A redistributed proximal bundle method for nonsmooth nonconvex functions with inexact information
inferred← citeshttps://doi.org/10.48550/arxiv.1506.07937openalex-snapshot
A feasible second order bundle algorithm for nonsmooth, nonconvex optimization problems with inequality constraints: I. Derivation and convergence
inferred← citeshttps://doi.org/10.48550/arxiv.2003.01562openalex-snapshot
Decomposition of Large Scale Linear Programming Problems Containing both Linking Variables and Constraints via Accuracy Certificates
inferred← citeshttps://doi.org/10.48550/arxiv.2003.11457openalex-snapshot
A proximal bundle variant with optimal iteration-complexity for a large range of prox stepsizes
inferred← citeshttps://doi.org/10.68381/jca22056openalex-snapshot
Bundle Method for Nonconvex Nonsmooth Constrained Optimization
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