Title
A New Wide Neighborhood Primal-Dual Infeasible-Interior-Point Method for Symmetric Cone Programming.
Abstract
We present a new infeasible-interior-point method, based on a wide neighborhood, for symmetric cone programming. The convergence is shown for a commutative class of search directions, which includes the Nesterov-Todd direction and the xs and sx directions. Moreover, we derive the complexity bound of the wide neighborhood infeasible interior-point methods that coincides with the currently best known theoretical complexity bounds for the short step path-following algorithm. © 2013 Springer Science+Business Media New York.
Year
DOI
Venue
2013
10.1007/s10957-013-0303-y
J. Optimization Theory and Applications
Keywords
Field
DocType
infeasible-interior-point method,jordan algebra,polynomial complexity,symmetric cone programming,wide neighborhood
Convergence (routing),Mathematical optimization,Commutative property,Symmetric cone,Polynomial complexity,Interior point method,Mathematics,Jordan algebra
Journal
Volume
Issue
ISSN
158
3
15732878
Citations 
PageRank 
References 
15
0.68
19
Authors
3
Name
Order
Citations
PageRank
Hongwei Liu17812.29
Ximei Yang2262.34
Changhe Liu3383.62