Seminar: Nonlinear Analysis and Optimization Speaker: Shoham Sabach The Technion Title: Generalized univariate Newton methods motivated by proximal regularization Time: Sunday, March 13, 2011, at 14:45 Place: Room 814, Amado Mathematics Building Please note unusual time! Abstract: We devise new generalized univariate Newton methods for solving nonlinear equations, motivated by the Bregman distances and the proximal regularization of optimization problems. We prove quadratic convergence of the new methods, and illustrate their benefits over the classical Newton's method by means of three test problems. These test problems provide insight as to which generalized method could be chosen for a given nonlinear equation. Finally, we derive a closed-form expression for the asymptotic error constants of the generalized methods and make further comparisons involving these constants. This is a joint project with Regina S. Burachik and C. Yalcın Kaya. --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Simeon Reich <sreich@techunix.technion.ac.il>