Critical sets in one-parametric mathematical programs with complementarity constraints

DOI10.1080/02331930701779955zbMath1191.90065OpenAlexW2068750291MaRDI QIDQ3498595

Jürgen Guddat, Gemayqzel Bouza Allende, Georg Still

Publication date: 15 May 2008

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930701779955

zbMATH Keywords

stationary pointgeneralized critical pointgenericity analysisparametric program with complementarity constraints

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
• A note on sensitivity of value functions of mathematical programs with complementarity constraints
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• An Implementable Active-Set Algorithm for Computing a B-Stationary Point of a Mathematical Program with Linear Complementarity Constraints
• Critical sets in parametric optimization
• Some properties of regularization and penalization schemes for MPECs
• A Fritz John Approach to First Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints
• Mathematical Programs with Complementarity Constraints: Convergence Properties of a Smoothing Method
• How Stringent is the Linear Independence Assumption for Mathematical Programs with Complementarity Constraints?