For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex problems in logistics, finance, computer vision, and even pure math. This simple ...
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 ...
When Newton's method is used to find a root of a map from a Banach space into itself and the derivative is singular at that root, convergence of the Newton sequence is in general linear. In this paper ...