A NEURAL NETWORK FOR THE GENERALIZED NONLINEAR COMPLEMENTARITY PROBLEM OVER A POLYHEDRAL CONE

DOI10.1017/S1446788715000300zbMath1356.90147MaRDI QIDQ3458370

Yi-Fen Ke, Chang-Feng Ma

Publication date: 18 December 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergence analysisneural networksimulation resultspolyhedral conegeneralized nonlinear complementarity problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Superlinear/quadratic smoothing Broyden-like method for the generalized nonlinear complementarity problem
• A new smoothing and regularization Newton method for \(P_{0}\)-NCP
• A nonsmooth L-M method for solving the generalized nonlinear complementarity problem over a polyhedral cone
• A regularization smoothing Newton method for solving nonlinear complementarity problem
• The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem
• A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems
• A globally and superlinearly convergent smoothing Broyden-like method for solving nonlinear complementarity problem
• A projection neural network and its application to constrained optimization problems
• Solving nonlinear complementarity problems with neural networks: A reformulation method approach

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