2022/02/21 by El Hassene Osmani, Osmani, El Hassene, Mounir Haddou +5
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2202.10234
openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we propose a smoothing method to solve nonlinear complementarity problems involving P 0-functions. We propose a nonparametric algorithm to solve the nonlinear corresponding system of equations and prove some global and local convergence results. We also present several numerical experiments and applications that show the efficiency of our approach. Our main contribution relies in the fact that the regularization parameter r is considered as a variable and we do not need any complicated strategy to update it.