@inproceedings{f85b66b69f624edaaffdc3af1e10ba01,

title = "Generalization of accelerated successive projection method for convex sets intersection problems",

abstract = "We consider a successive projection method for finding a common point in the intersection of closed convex sets with a nonempty interior. We first generalize an iterative projection algorithm known as acceleration method that was introduced earlier in [1] from the case of two closed convex sets to a finite number of closed convex sets, assuming that the intersection set has a nonempty interior. In particular, we establish the convergence of such an algorithm to a common feasible point in the intersection of all the sets. Following this, we establish a geometric rate of convergence for the generalized method when we restrict the convex sets to the class of half-spaces in finite dimensional Euclidean spaces.",

keywords = "Acceleration method, Closed convex sets, Convergence rate, Half-spaces, Successive projection",

author = "Etesami, {Seyed Rasoul} and Angelia Nedic and Tamer Basar",

note = "Publisher Copyright: {\textcopyright} 2016 American Automatic Control Council (AACC).; 2016 American Control Conference, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

year = "2016",

month = jul,

day = "28",

doi = "10.1109/ACC.2016.7525618",

language = "English (US)",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4422--4427",

booktitle = "2016 American Control Conference, ACC 2016",

address = "United States",

}