Gauss-Newton methods with approximate projections for solving constrained nonlinear least squares problems

摘要

This paper is concerned with algorithms for solving constrained nonlinear least squares problems. We first propose a local Gauss-Newton method with approximate projections for solving the aforementioned problems and study, by using a general majorant condition, its convergence results, including results on its rate. By combining the latter method and a nonmonotone line search strategy, we then propose a global algorithm and analyze its convergence results. Finally, some preliminary numerical experiments are reported in order to illustrate the advantages of the new schemes. (C) 2020 Elsevier Inc. All rights reserved.