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2010•Journal of Fujian Normal UniversityRequires access

A One Step Smoothing Newton Method for P_0 Nonlinear Complementarity Problems

Changfeng Ma

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Abstract

By introducing a new smoothing NCP function,the problem is approximated by a family of parameterized smooth equations.A one step smoothing Newton method is proposed for the nonlinear complementarity problem with P0 function based on the new smoothing function.The proposed algorithm is proved to be convergent globally.Furthermore,the algorithm has local superlinearly and quadratic convergence under suitable conditions.Some numerical experiments are reported.

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What this paper is about

By introducing a new smoothing NCP function,the problem is approximated by a family of parameterized smooth equations.A one step smoothing Newton method is proposed for the nonlinear complementarity problem with P0 function based on the new smoothing function.The proposed algorithm is proved to be convergent globally.Furthermore,the algorithm has local superlinearly and quadratic convergence under suitable conditions.Some numerical experiments are reported.

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Available abstract

By introducing a new smoothing NCP function,the problem is approximated by a family of parameterized smooth equations.A one step smoothing Newton method is proposed for the nonlinear complementarity problem with P0 function based on the new smoothing function.The proposed algorithm is proved to be convergent globally.Furthermore,the algorithm has local superlinearly and quadratic convergence under suitable conditions.Some numerical experiments are reported.

Key concepts: Nonlinear complementarity problem, Smoothing, Parameterized complexity, Mathematics, Mixed complementarity problem, Newton's method, Quadratic equation, Nonlinear system

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