Title
Quasi-monotone Subgradient Methods for Nonsmooth Convex Minimization
Abstract
In this paper, we develop new subgradient methods for solving nonsmooth convex optimization problems. These methods guarantee the best possible rate of convergence for the whole sequence of test points. Our methods are applicable as efficient real-time stabilization tools for potential systems with infinite horizon. Preliminary numerical experiments confirm a high efficiency of the new schemes.
Year
DOI
Venue
2015
10.1007/s10957-014-0677-5
J. Optimization Theory and Applications
Keywords
Field
DocType
Convex optimization, Nonsmooth optimzation, Subgradient methods, Rate of convergence, Primal-dual methods, 90C25, 90C47, 68Q25
Mathematical optimization,Subgradient method,Infinite horizon,Rate of convergence,Convex optimization,Monotone polygon,Mathematics
Journal
Volume
Issue
ISSN
165
3
1573-2878
Citations 
PageRank 
References 
3
0.47
3
Authors
2
Name
Order
Citations
PageRank
Yurii Nesterov11800168.77
V. Shikhman230.47