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Implicit function theorems for mathematical programming and for systems of 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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On the continuity of the minimum set of a continuous function

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Nonlinear Programming--Sequential Unconstrained Minimization Techniques

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Marginal Values in Linear Programming

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Mass Action Laws and the Gibbs Free Energy Function

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8. Marginal Values of Matrix Games and Linear Programs

What points at this work

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

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Sensitivity analysis for nonlinear programming using penalty methods

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Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs

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An implementation of some implicit function theorems with applications to sensitivity analysis

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Sensitivity analysis in geometric programming: Theory and computations

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Sensitivity and stability analysis for nonlinear programming

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On parametric nonlinear programming

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Stability in stochastic programming with recourse-estimated parameters

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Higher order sensitivity of solutions to convex programming problems without strict complementarity

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Sensitivity analysis in nonlinear programming under second order assumptions

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Solution point differentiability without strict complementarity in nonlinear programming

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Blowing Up Polygonal Linkages

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Bilevel programming for steady-state chemical process design—I. Fundamentals and algorithms

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Basic results in the development of sensitivity and stability analysis in nonlinear programming

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Fast NMPC schemes for regulatory and economic NMPC – A review

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References

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Further developments and applications of the Green’s function method of sensitivity analysis in chemical kinetics

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Sensitivity Analysis of Regional Planning Models

inferred← citeshttps://doi.org/10.1080/02331938908843460openalex-snapshot

On the directional derivative of the optimal solution mapping without linear independence constraint qualification

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First and Second Order Sensitivity Analysis of Nonlinear Programs under Directional Constraint Qualification Conditions

inferred← citeshttps://doi.org/10.1080/15598608.2014.847763openalex-snapshot

Asymptotic Normality of the Optimal Solution in Response Surface Methodology

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Straightening polygonal arcs and convexifying polygonal cycles

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Differentiability of Relations and Differential Stability of Perturbed Optimization Problems

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Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections

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On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization

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A Nonsmooth Newton Method with Path Search and Its Use in Solving $C^{1,1}$ Programs and Semi-Infinite Problems

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Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects

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Constrained Entropy Models; Solvability and Sensitivity

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Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs

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Sensitivity Analysis of Discrete Structural Systems

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