Generalized Sensitivity Analysis of Nonlinear Programs
DOI10.1137/17M1120385zbMath1383.49024OpenAlexW2786307812MaRDI QIDQ4603041
Paul I. Barton, Kamil A. Khan, Peter G. Stechlinski
Publication date: 14 February 2018
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1120385
parametric optimizationgeneralized derivativeslexicographic differentiationlexicographic directional derivativesnonsmooth implicit functionsnonsmooth KKT systems
Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions
- Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides
- Dependence of solutions of nonsmooth differential-algebraic equations on parameters
- Introduction to sensitivity and stability analysis in nonlinear programming
- Generalized derivatives of dynamic systems with a linear program embedded
- A minimal set-valued strong derivative for vector-valued Lipschitz functions
- On NCP-functions
- Generalized differential calculus for nonsmooth and set-valued mappings
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Sensitivity analysis of composite piecewise smooth equations
- Coderivatives in parametric optimization
- Directional derivatives of the solution of a parametric nonlinear program
- Directional differentiability of optimal solutions under Slater's condition
- A nonsmooth version of Newton's method
- Lexicographic differentiation of nonsmooth functions
- On stable piecewise linearization and generalized algorithmic differentiation
- Introduction to Piecewise Differentiable Equations
- Directional derivative of the marginal function in nonlinear programming
- A vector forward mode of automatic differentiation for generalized derivative evaluation
- Sensitivity Analysis for Nonlinear Programs and Variational Inequalities with Nonunique Multipliers
- Evaluating Derivatives
- Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections
- Strongly Regular Generalized Equations
- Computationally relevant generalized derivatives: theory, evaluation and applications
- Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
- Generalized Derivatives for Hybrid Systems
- Discontinuous dynamical systems
This page was built for publication: Generalized Sensitivity Analysis of Nonlinear Programs