Title
A feasible direction algorithm for nonlinear second-order cone programs
Abstract
In this work, we present a new feasible direction algorithm for solving smooth nonlinear second-order cone programs. These consist of minimizing a nonlinear smooth objective function subject to some nonlinear second-order cone constraints. Given an interior point to the feasible set defined by the conic constraints, the algorithm generates a feasible sequence with monotone decreasing values of the objective function. Under mild assumptions, we prove the global convergence of the algorithm to KKT points. Finally, we present some computational results applied to several instances of randomly generated benchmark problems and robust support vector machine classification.
Year
DOI
Venue
2019
10.1080/10556788.2018.1506452
OPTIMIZATION METHODS & SOFTWARE
Keywords
DocType
Volume
Feasible direction,Second-order cone programming,Interior-point methods
Journal
34
Issue
ISSN
Citations 
6
1055-6788
1
PageRank 
References 
Authors
0.35
14
3
Name
Order
Citations
PageRank
Alfredo Canelas182.04
Miguel Carrasco2214.35
Julio López312413.49