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 ...

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 ...

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...