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On bilevel programming, Part I: General nonlinear cases

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What this work says

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

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Practical Methods of Optimization
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Optimality conditions for the bilevel programming problem
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Derivative evaluation and computational experience with large bilevel mathematical programs
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Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
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Second-order sensitivity analysis in factorable programming: Theory and applications
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Degeneracy in NLP and the development of results motivated by its presence
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Hierarchical optimization: An introduction
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Double penalty method for bilevel optimization problems
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Implicitly defined optimization problems
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Methods of Descent for Nondifferentiable Optimization
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Local structure of feasible sets in nonlinear programming, part I: Regularity
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A method of conjugate subgradients for minimizing nondifferentiable functions
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Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
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Solution point differentiability without strict complementarity in nonlinear programming
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An explicit solution to the multi-level programming problem
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Practical methods of optimization
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Strongly Stable Stationary Solutions in Nonlinear Programs
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Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
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A Representation and Economic Interpretation of a Two-Level Programming Problem
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On the stable global convergence of particular quasi-newton-methods
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Algorithms for nonlinear bilevel mathematical programs
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A new computational method for Stackelberg and min-max problems by use of a penalty method
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On two-level optimization
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Semismooth and Semiconvex Functions in Constrained Optimization
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Lipschitz Continuity for Constrained Processes
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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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Sensitivity Analysis in Nonlinear Programs and Variational Inequalities via Continuous Selections
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Normal Maps Induced by Linear Transformations
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Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
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Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
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Strongly Regular Generalized Equations
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An Algorithm for Solving the General Bilevel Programming Problem
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A View of Unconstrained Optimization.
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Practical Methods of Optimization.
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Nondifferentiable Optimization

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

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Codes for "Linearly convergent bilevel optimization with single-step inner methods"
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