A two-dimensional trust-region method for large scale bound-constrained nonlinear systems

A class of trust-region methods for solving large scale bound-constrained nonlinear systems has been proposed in a recent paper by the authors. These methods combine a Newton-Krylov method with a subspace trust-region strategy and with a strategy for handling the bounds. In this paper, an algorithm from that class is described and its numerical performance is illustrated by numerical experiments. The results of a comparison with an efficient approach in literature are shown too.