An interior-point method for solving box-constrained underdetermined nonlinear systems
Recently \textit{S. Bellavia, M. Macconi} and \textit{B. Morini} [Comput. Optim. Appl. 28, 31--50 (2004; Zbl 1056.90128)] developed an algorithm for solving \(n \times n\) nonlinear systems with box-constraints utilizing the interior trust-region approach of \textit{T. F. Coleman} and \textit{Y. Li} [SIAM J. Optim. 6, No. 2, 418--445 (1996; Zbl 0855.65063)]. Here the method is modified for and extended to the underdetermined case. Global and local convergence results are proved and some numerical experiments are presented.
scientific article; zbMATH DE number 2136617
scientific article