  This paper primarily presents numerical results for the Anderson accelerated
Newton method on a set of benchmark problems. The results demonstrate
superlinear convergence to solutions of both degenerate and nondegenerate
problems. The convergence for nondegenerate problems is also justified
theoretically. For degenerate problems, those whose Jacobians are singular at a
solution, the domain of convergence is studied. It is observed in that setting
that Newton-Anderson has a domain of convergence similar to Newton, but it may
be attracted to a different solution than Newton if the problems are slightly
perturbed.
