A perturbation approach for a type of inverse linear programming problems

DOI10.1080/00207160903513003zbMath1211.65071OpenAlexW2051815074MaRDI QIDQ5391505

Xiantao Xiao, Yong Jiang, Zhang, Jianzhong, Li-wei Zhang

Publication date: 6 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903513003

zbMATH Keywords

global convergencenumerical resultsinexact Newton methodlinear programming problemFischer-Burmeister functionlinear complementarity constrained minimization problem

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05) Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• An augmented Lagrangian method for a class of Inverse quadratic programming problems
• On an instance of the inverse shortest paths problem
• A smoothing method for mathematical programs with equilibrium constraints
• A further study on inverse linear programming problems
• Solution structure of some inverse combinatorial optimization problems
• Some reverse location problems
• A modified relaxation scheme for mathematical programs with complementarity constraints
• Inverse conic programming with applications
• The complexity analysis of the inverse center location problem
• Inverse combinatorial optimization: a survey on problems, methods, and results
• Calculating some inverse linear programming problems
• Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints
• Inverse Optimization
• Variational Analysis
• Combinatorial algorithms for inverse network flow problems

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