On the public citation graph

Directional differentiability of the optimal value function in a nonlinear programming problem

https://doi.org/10.1007/bfb0121219
0 signed · 114 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/978-3-0348-0439-4_12openalex-snapshot
Second Order Conditions for Constrained Minima
inferredcites →https://doi.org/10.1007/bf01580138openalex-snapshot
A dual approach to solving nonlinear programming problems by unconstrained optimization
inferredcites →https://doi.org/10.1007/bf02591866openalex-snapshot
Marginal values and second-order necessary conditions for optimality
inferredcites →https://doi.org/10.1007/bfb0120958openalex-snapshot
Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
inferredcites →https://doi.org/10.1007/bfb0120984openalex-snapshot
Differential properties of the marginal function in mathematical programming
inferredcites →https://doi.org/10.1016/0022-247x(67)90163-1openalex-snapshot
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
inferredcites →https://doi.org/10.1088/0031-9112/18/9/022openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.1090/s0002-9947-1975-0367131-6openalex-snapshot
Generalized Gradients and Applications
inferredcites →https://doi.org/10.1137/0115056openalex-snapshot
Second Order Conditions for Constrained Minima
inferredcites →https://doi.org/10.1137/0312021openalex-snapshot
Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
inferredcites →https://doi.org/10.1137/0315020openalex-snapshot
Differential Stability in Nonlinear Programming
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
inferredcites →https://doi.org/10.1137/1021002openalex-snapshot
On the Convergence of Sequences of Convex Sets in Finite Dimensions
inferredcites →https://doi.org/10.1287/moor.4.4.458openalex-snapshot
The Generalized Gradient of a Marginal Function in Mathematical Programming
inferredcites →https://doi.org/10.1287/opre.21.1.188openalex-snapshot
Directional Derivatives for Extremal-Value Functions with Applications to the Completely Convex Case
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis
inferredcites →https://doi.org/10.2307/2005033openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.2307/3008903openalex-snapshot
Optimization Theory: The Finite Dimensional Case

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jmaa.1997.5288openalex-snapshot
The Lower Semicontinuity of Optimal Solution Sets
inferred← citeshttps://doi.org/10.1007/0-306-48332-7_321openalex-snapshot
Multilevel Methods For Optimal Design
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_213openalex-snapshot
Generalized Semi-infinite Programming: Optimality Conditions
inferred← citeshttps://doi.org/10.1007/978-1-4613-3285-5_3openalex-snapshot
Generalised Convexity Properties of Marginal Functions
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_1openalex-snapshot
Metric and Topological Tools
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_2openalex-snapshot
Elements of Differential Calculus
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_3openalex-snapshot
Elements of Convex Analysis
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_4openalex-snapshot
Elementary and Viscosity Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_5openalex-snapshot
Circa-Subdifferentials, Clarke Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_6openalex-snapshot
Limiting Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_7openalex-snapshot
Graded Subdifferentials, Ioffe Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4757-6019-4_11openalex-snapshot
Directional Derivative for the Value Function in Mathematical Programming
inferred← citeshttps://doi.org/10.1007/978-3-030-54621-2_213-1openalex-snapshot
Generalized Semi-infinite Programming: Optimality Conditions
inferred← citeshttps://doi.org/10.1007/978-3-642-51682-5_13openalex-snapshot
A Nondifferentiable Approach to Decomposable Optimization Problems with an Application to the Design of Water Distribution Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-57592-1_27openalex-snapshot
The Feasible Set in Generalized Semi-Infinite Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-68874-4_15openalex-snapshot
Generalized Subgradients in Mathematical Programming
inferred← citeshttps://doi.org/10.1007/978-3-642-88272-2_2openalex-snapshot
Strong Convexity and Directional Derivatives of Marginal Values in Two-Stage Stochastic Programming
inferred← citeshttps://doi.org/10.1007/978-3-662-12603-5_6openalex-snapshot
Lipschitzian Stability in Optimization: The Role of Nonsmooth Analysis
inferred← citeshttps://doi.org/10.1007/978-3-662-22587-5_7openalex-snapshot
Parametric Programming Approaches to Local Approximation of the Efficient Frontier
inferred← citeshttps://doi.org/10.1007/978-94-011-5532-8_23openalex-snapshot
Moment Bounds for Stochastic Programs in Particular for Recourse Problems
inferred← citeshttps://doi.org/10.1007/bf00939951openalex-snapshot
Optimality conditions for directionally differentiable multi-objective programming problems
inferred← citeshttps://doi.org/10.1007/bf00940933openalex-snapshot
On concepts of directional differentiability
inferred← citeshttps://doi.org/10.1007/bf00940934openalex-snapshot
First-order and second-order ?-directional derivatives of a marginal function in convex programming with linear inequality constraints
inferred← citeshttps://doi.org/10.1007/bf01246516openalex-snapshot
Directional differentiation of marginal functions in mathematical programming problems
inferred← citeshttps://doi.org/10.1007/bf01416737openalex-snapshot
On the numerical solution of a class of Stackelberg problems
inferred← citeshttps://doi.org/10.1007/bf01443623openalex-snapshot
Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton
inferred← citeshttps://doi.org/10.1007/bf01445154openalex-snapshot
Sensitivity analysis of optimization problems in Hilbert space with application to optimal control
inferred← citeshttps://doi.org/10.1007/bf01581135openalex-snapshot
Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
inferred← citeshttps://doi.org/10.1007/bf01581199openalex-snapshot
Sensitivity analysis for nonsmooth generalized equations
inferred← citeshttps://doi.org/10.1007/bf01587077openalex-snapshot
Marginal values in mixed integer linear programming
inferred← citeshttps://doi.org/10.1007/bf02055193openalex-snapshot
Stability and sensitivity-analysis for stochastic programming
inferred← citeshttps://doi.org/10.1007/bf02055196openalex-snapshot
Sensitivity and stability analysis for nonlinear programming
inferred← citeshttps://doi.org/10.1007/bf02055197openalex-snapshot
Directional derivative of the value function in parametric optimization
inferred← citeshttps://doi.org/10.1007/bf02096257openalex-snapshot
Degeneracy in NLP and the development of results motivated by its presence
inferred← citeshttps://doi.org/10.1007/bf02189796openalex-snapshot
Hölder behavior of optimal solutions and directional differentiability of marginal functions in nonlinear programming
inferred← citeshttps://doi.org/10.1007/bf02191862openalex-snapshot
Directional derivatives of optimal value functions in mathematical programming
inferred← citeshttps://doi.org/10.1007/bf02192200openalex-snapshot
Directionally differentiable multiobjective optimization involving discrete inclusions
inferred← citeshttps://doi.org/10.1007/bfb0043393openalex-snapshot
Sensitivity analysis in nonlinear programming under second order assumptions
inferred← citeshttps://doi.org/10.1007/bfb0121211openalex-snapshot
Some examples and counterexamples for the stability analysis of nonlinear programming problems
inferred← citeshttps://doi.org/10.1007/s00186-014-0465-xopenalex-snapshot
On smoothness properties of optimal value functions at the boundary of their domain under complete convexity
inferred← citeshttps://doi.org/10.1007/s10107-002-0301-6openalex-snapshot
A note on sensitivity of value functions of mathematical programs with complementarity constraints
inferred← citeshttps://doi.org/10.1007/s10107-021-01750-yopenalex-snapshot
On implicit function theorem for locally Lipschitz equations
inferred← citeshttps://doi.org/10.1007/s10107980027aopenalex-snapshot
Characterization of the smoothness and curvature of a marginal function for a trust-region problem
inferred← citeshttps://doi.org/10.1007/s10255-008-8001-5openalex-snapshot
New differential properties of sup-type functions
inferred← citeshttps://doi.org/10.1007/s10898-015-0307-2openalex-snapshot
A natural extension of the classical envelope theorem in vector differential programming
inferred← citeshttps://doi.org/10.1007/s10898-023-01359-9openalex-snapshot
Generalized derivatives of optimal-value functions with parameterized convex programs embedded
inferred← citeshttps://doi.org/10.1007/s10957-022-02056-5openalex-snapshot
Global Convergence of Algorithms Under Constant Rank Conditions for Nonlinear Second-Order Cone Programming
inferred← citeshttps://doi.org/10.1007/s10957-023-02244-xopenalex-snapshot
Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions
inferred← citeshttps://doi.org/10.1007/s11228-008-0078-8openalex-snapshot
Lagrange Multipliers for Multiobjective Programs with a General Preference
inferred← citeshttps://doi.org/10.1016/j.apm.2017.07.026openalex-snapshot
A measure of concentration robustness in a biochemical reaction network and its application on system identification
inferred← citeshttps://doi.org/10.1016/j.cam.2007.02.012openalex-snapshot
Generalized semi-infinite programming: A tutorial
inferred← citeshttps://doi.org/10.1016/j.ejor.2019.11.020openalex-snapshot
Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients
inferred← citeshttps://doi.org/10.1016/j.jet.2021.105309openalex-snapshot
The envelope theorem, Euler and Bellman equations, without differentiability
inferred← citeshttps://doi.org/10.1016/j.jmateco.2015.09.001openalex-snapshot
A nonsmooth approach to envelope theorems
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)60662-1openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)60663-3openalex-snapshot
Selected Bibliography of Works Not Cited
inferred← citeshttps://doi.org/10.1016/s0377-2217(01)00307-1openalex-snapshot
On generalized semi-infinite optimization and bilevel optimization
inferred← citeshttps://doi.org/10.1017/s1748499523000210openalex-snapshot
Error propagation and attribution in simulation-based capital models
inferred← citeshttps://doi.org/10.1023/a:1004622015901openalex-snapshot
On Optimality Conditions for Generalized Semi-Infinite Programming Problems
inferred← citeshttps://doi.org/10.1023/a:1023669004408openalex-snapshot
Multivalued Analysis and Differential Properties of Multivalued Mappings
inferred← citeshttps://doi.org/10.1080/01630569208816467openalex-snapshot
Sensitivity analysis using the tangent derivative
inferred← citeshttps://doi.org/10.1080/02331930410001661190openalex-snapshot
Solving generalized semi-infinite programs by reduction to simpler problems
inferred← citeshttps://doi.org/10.1080/02331934.2012.752822openalex-snapshot
On differentiability properties of player convex generalized Nash equilibrium problems
inferred← citeshttps://doi.org/10.1080/02331934.2018.1426579openalex-snapshot
Minimization of marginal functions in mathematical programming based on continuous outer subdifferentials
inferred← citeshttps://doi.org/10.1080/02331938708843266openalex-snapshot
Stochastic programming with incomplete information:a surrey of results on postoptimization and sensitivity analysis
inferred← citeshttps://doi.org/10.1080/02331939008843555openalex-snapshot
First and Second Order Sensitivity Analysis of Nonlinear Programs under Directional Constraint Qualification Conditions
inferred← citeshttps://doi.org/10.1080/02331939108843656openalex-snapshot
Second order multipliers and marginal function in non linear programs
inferred← citeshttps://doi.org/10.1080/02331939208843834openalex-snapshot
A practicable way for computing the directional derivative of the optimal value function in convex programming
inferred← citeshttps://doi.org/10.1080/02331939308843899openalex-snapshot
Regularity properties of the optimal value function in non linear programming
inferred← citeshttps://doi.org/10.1080/02331939508844048openalex-snapshot
The nonlinear bilevel programming problem:formulations,regularity and optimality conditions
inferred← citeshttps://doi.org/10.1080/10556788.2013.841694openalex-snapshot
Smoothness properties of a regularized gap function for quasi-variational inequalities
inferred← citeshttps://doi.org/10.1080/10556788.2021.1977810openalex-snapshot
Semismooth Newton-type method for bilevel optimization: global convergence and extensive numerical experiments
inferred← citeshttps://doi.org/10.1109/access.2020.3002840openalex-snapshot
Saddle-Node Bifurcations of Power Systems in the Context of Variational Theory and Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1137/0326037openalex-snapshot
Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections
inferred← citeshttps://doi.org/10.1137/0329056openalex-snapshot
On Subdifferentials of Optimal Value Functions
inferred← citeshttps://doi.org/10.1137/0803016openalex-snapshot
Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning
inferred← citeshttps://doi.org/10.1137/0804001openalex-snapshot
On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization
inferred← citeshttps://doi.org/10.1137/0806011openalex-snapshot
Dini Derivatives of the Marginal Function of a Non-Lipschitzian Program
inferred← citeshttps://doi.org/10.1137/080738271openalex-snapshot
Various Lipschitz-like Properties for Functions and Sets I: Directional Derivative and Tangential Characterizations
inferred← citeshttps://doi.org/10.1137/1035044openalex-snapshot
Lagrange Multipliers and Optimality
inferred← citeshttps://doi.org/10.1137/s105262340342907xopenalex-snapshot
Space Mapping for Optimal Control of Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/s1052623493259616openalex-snapshot
Viscosity Solutions of Minimization Problems
inferred← citeshttps://doi.org/10.11606/t.3.2022.tde-26072023-102205openalex-snapshot
Estabilidade de tensão de sistemas de energia na presença da crescente penetração de energia eólica.
inferred← citeshttps://doi.org/10.11606/t.45.2022.tde-30032022-212754openalex-snapshot
Topics in nonlinear conic optimization and applications
inferred← citeshttps://doi.org/10.11606/t.45.2023.tde-27122023-192122openalex-snapshot
Constant rank-type constraint qualifications and second-order optimality conditions
inferred← citeshttps://doi.org/10.1287/moor.10.2.207openalex-snapshot
Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs
inferred← citeshttps://doi.org/10.1287/moor.13.1.124openalex-snapshot
Second Order Directional Derivatives in Parametric Optimization Problems
inferred← citeshttps://doi.org/10.1287/moor.13.4.629openalex-snapshot
Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
inferred← citeshttps://doi.org/10.1287/moor.15.4.626openalex-snapshot
On Generalized Gradients in Optimization Problems with Set-Valued Constraints
inferred← citeshttps://doi.org/10.1287/opre.2020.1999openalex-snapshot
Value of Information in Bayesian Routing Games
inferred← citeshttps://doi.org/10.21136/am.1989.104377openalex-snapshot
On necessary optimality conditions in a class of optimization problems
inferred← citeshttps://doi.org/10.23919/acc63710.2025.11108095openalex-snapshot
Local-Global Learning of Interpretable Control Policies: The Interface between MPC and Reinforcement Learning
inferred← citeshttps://doi.org/10.4153/cjm-2004-037-xopenalex-snapshot
Differentiability Properties of Optimal Value Functions
inferred← citeshttps://doi.org/10.47004/wp.cem.2024.0224openalex-snapshot
Information based inference in models with set-valued predictions and misspecification
inferred← citeshttps://doi.org/10.48550/arxiv.1808.10590openalex-snapshot
Value of Information in Bayesian Routing Games
inferred← citeshttps://doi.org/10.53846/goediss-6631openalex-snapshot
Wasserstein Distance on Finite Spaces: Statistical Inference and Algorithms
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.