SIAM Journal on Numerical Analysis, Vol. 20, No. 2 (Apr., 1983), pp. 296-314 (19 pages) If Newton's method is employed to find a root of a map from a Banach space into itself and the derivative is ...
A natural damping of Newton's method for nonsmooth equations is presented. This damping, via the path search instead of the traditional line search, enlarges the domain of convergence of Newton's ...