Apr 20, 1998 - in which a system of linear equations is solved at each step. ... their generalized Newton method is based on a key concept of ... (quadratically) convergent to a solution x if H. 0 .... equations without assuming di erentiability of H. On the other hand, ..... In Theorem 3.4 we obtained the superlinear (quadratic) ...
Nonsmooth Equations and Smoothing Newton Methods Liqun Qi and Defeng Sun School of Mathematics The University of New South Wales Sydney 2052, Australia April 20, 1998
Abstract
In this article we review and summarize recent developments on nonsmooth equations and smoothing Newton methods. Several new suggestions are presented.