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Finite convergence of algorithms for nonlinear programs and variational inequalities

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What this work says

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

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Linear and Nonlinear Programming
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Foundations of Optimization
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Sensitivity analysis for variational inequalities
inferredcites →https://doi.org/10.1007/bf00939081openalex-snapshot
On the convergence of projected gradient processes to singular critical points
inferredcites →https://doi.org/10.1007/bf01268170openalex-snapshot
Solution of symmetric linear complementarity problems by iterative methods
inferredcites →https://doi.org/10.1007/bf01581071openalex-snapshot
Minimum principle sufficiency
inferredcites →https://doi.org/10.1007/bf01585112openalex-snapshot
Iterative methods for variational and complementarity problems
inferredcites →https://doi.org/10.1007/bf02591891openalex-snapshot
An iterative scheme for variational inequalities
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Projected gradient methods for linearly constrained problems
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Generalized equations and their solutions, part II: Applications to nonlinear programming
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Note on solving linear complementarity problems as jointly constrained bilinear programs
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Constrained minimization methods
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A simple characterization of solution sets of convex programs
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Nonlinear programming: theory and algorithms
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Nonlinear programming: Theory, algorithms, and applications
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Linear and nonlinear programming.
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Nonlinear Programming -- Theory and Algorithms
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Convex programming in Hilbert space
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On the Goldstein-Levitin-Polyak gradient projection method
inferredcites →https://doi.org/10.1137/0317015openalex-snapshot
Rates of Convergence for Conditional Gradient Algorithms Near Singular and Nonsingular Extremals
inferredcites →https://doi.org/10.1137/0318035openalex-snapshot
Convergence Rates for Conditional Gradient Sequences Generated by Implicit Step Length Rules
inferredcites →https://doi.org/10.1137/0318050openalex-snapshot
Newton’s Method and the Goldstein Step-Length Rule for Constrained Minimization Problems
inferredcites →https://doi.org/10.1137/0319022openalex-snapshot
Global and Asymptotic Convergence Rate Estimates for a Class of Projected Gradient Processes
inferredcites →https://doi.org/10.1137/0320018openalex-snapshot
Projected Newton Methods for Optimization Problems with Simple Constraints
inferredcites →https://doi.org/10.1137/0322061openalex-snapshot
Two-Metric Projection Methods for Constrained Optimization
inferredcites →https://doi.org/10.1137/0327002openalex-snapshot
Convergence of SQP-Like Methods for Constrained Optimization
inferredcites →https://doi.org/10.1137/0725068openalex-snapshot
On the Identification of Active Constraints
inferredcites →https://doi.org/10.1287/moor.8.2.273openalex-snapshot
Jointly Constrained Biconvex Programming
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis

What points at this work

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

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First-order conditions for isolated locally optimal solutions
inferred← citeshttps://doi.org/10.1007/bf01581071openalex-snapshot
Minimum principle sufficiency
inferred← citeshttps://doi.org/10.1007/s10107-013-0730-4openalex-snapshot
Optimality, identifiability, and sensitivity
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Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions
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A proximal method for identifying active manifolds
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Accelerating convergence of cutting plane algorithms for disjoint bilinear programming
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POINT-BASED SUFFICIENT CONDITIONS FOR SHARP SOLUTIONS IN NONSMOOTH OPTIMIZATION
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Variational Analysis on Local Sharp Minima via Exact Penalization
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Computing Proximal Points of Convex Functions with Inexact Subgradients
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Note on solving linear complementarity problems as jointly constrained bilinear programs
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Finite termination of the optimal solution sequence in parametric optimization
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On finite convergence of proximal point algorithms for variational inequalities
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GLOBAL WEAK SHARP MINIMA AND COMPLETENESS OF METRIC SPACE
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A Finite Algorithm for Global Minimization of Separable Concave Programs
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Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities
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Geometrical interpretation of the predictor-corrector type algorithms in structured optimization problems
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On the weakest constraint qualification for sharp local minimizers
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Global convergence and finite termination of a class of smooth penalty function algorithms
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Derivative-free optimization methods for finite minimax problems
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Relax-and-split method for nonconvex inverse problems
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Weak Sharp Minima in Mathematical Programming
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Orthogonal Invariance and Identifiability
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Generic Minimizing Behavior in Semialgebraic Optimization
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Partial Smoothness and Constant Rank
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Infeasibility Detection with Primal-Dual Hybrid Gradient for Large-Scale Linear Programming
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Global Weak Sharp Minima on Banach Spaces
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Nondegenerate Solutions and Related Concepts in Affine Variational Inequalities
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Weak Sharp Solutions of Variational Inequalities
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On Finitely Terminating Branch-and-Bound Algorithms for Some Global Optimization Problems
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Erratum: Weak Sharp Solutions of Variational Inequalities
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Representation of the Feasible Set and KKT Conditions
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Active‐Set Newton Methods and Partial Smoothness
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Finite Convergence for Feasible Solution Sequence of Variational Inequality Problems
inferred← citeshttps://doi.org/10.48550/arxiv.1207.6628openalex-snapshot
Optimality, identifiability, and sensitivity
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Orthogonal Invariance and Identifiability
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Generic minimizing behavior in semi-algebraic optimization
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Computing proximal points of convex functions with inexact subgradients
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Relax-and-split method for nonsmooth nonconvex problems
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