Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications
Numerical Analysis
2021-09-20 v3 Numerical Analysis
Optimization and Control
Abstract
Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems. The residual vector is used as the search direction and choosing the steplength has a crucial impact on the performance. In this work we address both theoretically and experimentally the steplength selection and provide results on a real application such as a rolling contact problem.
Cite
@article{arxiv.2005.05851,
title = {Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications},
author = {Enrico Meli and Benedetta Morini and Margherita Porcelli and Cristina Sgattoni},
journal= {arXiv preprint arXiv:2005.05851},
year = {2021}
}