A modified Broyden-like method for nonlinear complementarity problems

DOI10.1007/s12190-009-0242-9zbMath1187.90280OpenAlexW2111824612MaRDI QIDQ2379896

Tao Yan

Publication date: 23 March 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0242-9

zbMATH Keywords

global convergencenonlinear complementarity problemsuperlinear convergenceBroyden-like methodsmoothing F-B function

Mathematics Subject Classification ID

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

Cites Work

• NE/SQP: A robust algorithm for the nonlinear complementarity problem
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• A new approach to continuation methods for complementarity problems with uniform \(P\)-functions
• The global linear convergence of an infeasible non-interior path-following algorithm for complementarity problems with uniform \(P\)-functions
• A class of smoothing functions for nonlinear and mixed complementarity problems
• A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
• A nonsmooth version of Newton's method
• Engineering and Economic Applications of Complementarity Problems
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
• Globally convergent Broyden-like methods for semismooth equations and applications to VIP, NCP and MCP