A centered Newton method for nonlinear complementarity problem

Journal of Computational and Applied Mathematics 2026 Open access

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Authors: Favián Arenas, Rosana Pérez M, M. Gonzalez-Lima, Carlos A. Arias-Barrera
DOI: 10.1016/j.cam.2026.117473
Cited by: 0
References: 16

Abstract

In this paper we present a centered Newton type algorithm for solving the nonlinear complementarity problem by a reformulation of the problem as a nonlinear system of equations with nonnegativity constraints. The proposed algorithm considers centered Newton directions projected over the feasible set in order to maintain iterate feasibility. We present theoretical and numerical results for the proposal.

Fields of Study & Subjects

Iterative Methods for Nonlinear Equations Advanced Optimization Algorithms Research Optimization and Variational Analysis

Publication details

Journal / source
Journal of Computational and Applied Mathematics
Volume
484
Pages
117473–117473
Publication date
27 February 2026
Language
EN