A hypothesis about the rate of global convergence for optimal methods (Newtons type) in smooth convex optimization

In this paper we discuss lower bounds for convergence of convex optimization methods of high order and attainability of this bounds. We formulate a hypothesis that covers all the cases. It is noticeable that we provide this statement without a proof. Newton method is the most famous method that uses...

Full description

Bibliographic Details
Main Authors: Alexander Vladimirovich Gasnikov, Dmitry A. Kovalev
Format: Article
Language:Russian
Published: Institute of Computer Science 2018-06-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2018_3/2018_01_04.pdf