A derivative-free filter method for solving nonlinear complementarity problems

DOI10.1016/j.amc.2003.12.038zbMath1122.90080OpenAlexW2109003200WikidataQ57806895 ScholiaQ57806895MaRDI QIDQ1764731

Puyan Nie, Jin Yan Fan

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.038

zbMATH Keywords

Nonlinear programmingGlobal convergenceNonlinear complementarity problemFilter methodsGeneralized pattern search methods

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Unnamed Item
• Unnamed Item
• A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
• Solution of monotone complementarity problems with locally Lipschitzian functions
• A null space method for solving system of equations.
• On the resolution of monotone complementarity problems
• On the convergence of a new trust region algorithm
• On the Convergence of Pattern Search Algorithms
• On the Global Convergence of a Filter--SQP Algorithm
• Nonlinear programming without a penalty function.

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