A log-exponential smoothing method for mathematical programs with complementarity constraints

DOI10.1016/j.amc.2011.11.046zbMath1248.65065OpenAlexW2081520455MaRDI QIDQ434603

Tao Tan, Yan-Yan Li, Xing-Si Li

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.046

zbMATH Keywords

stabilityconvergenceoptimality conditionmathematical programs with complementarity constraintsasymptotically weak nondegeneratelog-exponential smoothing methodsmoothing equationsupper level strict complementarity

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (8)

The inexact log-exponential regularization method for mathematical programs with vertical complementarity constraints ⋮ On solving difference of convex functions programs with linear complementarity constraints ⋮ A new smoothing method for mathematical programs with complementarity constraints based on logarithm-exponential function ⋮ On Smoothingl₁Exact Penalty Function for Constrained Optimization Problems ⋮ A cutting plane projection method for bi-level area traffic control optimization with uncertain travel demand ⋮ A quasi-Monte-Carlo-based feasible sequential system of linear equations method for stochastic programs with recourse ⋮ A new smoothing method for solving nonlinear complementarity problems ⋮ A LOCALLY SMOOTHING METHOD FOR MATHEMATICAL PROGRAMS WITH COMPLEMENTARITY CONSTRAINTS

Cites Work

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• A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
• On the continuity of the minimum set of a continuous function
• Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
• On the convergence of general regularization and smoothing schemes for mathematical programs with complementarity constraints
• A Sequential Smooth Penalization Approach to Mathematical Programs with Complementarity Constraints
• Unnamed Item

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