A new smoothing-type algorithm for nonlinear weighted complementarity problem

DOI10.1007/s12190-020-01352-5zbMath1475.90059OpenAlexW3022555954MaRDI QIDQ2053072

Jingyong Tang, Zi-Yu Liu

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s12190-020-01352-5

zbMATH Keywords

nonmonotone line searchsmoothing Newton algorithmquadratical convergencenonlinear weighted complementarity problem

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (2)

A dynamic model to solve weighted linear complementarity problems ⋮ Interior point methods for solving Pareto eigenvalue complementarity problems

Cites Work

• A smoothing Newton algorithm for weighted linear complementarity problem
• Sufficient weighted complementarity problems
• The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra
• A new smoothing and regularization Newton method for \(P_{0}\)-NCP
• A smoothing-type algorithm for solving nonlinear complementarity problems with a non-monotone line search
• A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
• A variant nonmonotone smoothing algorithm with improved numerical results for large-scale LWCPS
• Weighted LCPs and interior point systems for copositive linear transformations on Euclidean Jordan algebras
• A one-parametric class of smoothing functions and an improved regularization Newton method for the NCP
• A nonmonotone smoothing Newton method for circular cone programming
• A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems
• Weighted Complementarity Problems---A New Paradigm for Computing Equilibria

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