Seminario MoMA - Modellistica matematica
Seminario MoMA (Modellistica matematica)
Venerdì 25/2 dalle 12 alle 14, Sala di Consiglio del Dipartimento di Matematica
Francisco Facchinei (Università di Roma La Sapienza)
Newton's method: past, present and a bit of future
Abstract.
We review recent developments in Newton's method. Newton's method for the solution of systems of equations has a long and glorious history; after reviewing it we describe the latest advancements aimed at dealing with nonsmooth functions and non-isolated solutions. These developments are at the core of many successful applications of the method in a wide range of interesting contemporary problems which, in turn, offered the motivation for studying new methods expanding the range of applicability of Newton's basic algorithm.