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An Extrapolated Iterative Algorithm for Multiple-Set Split Feasibility Problem
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The multiple-set split feasibility problem (MSSFP), as a generalization of the split feasibility problem, is to find a point in the intersection of a family of closed convex sets in one space such that its image under a linear transformation will be in the intersection of another family of closed convex sets in the image space.
Censor et al.
(2005) proposed a method for solving the multiple-set split feasibility problem (MSSFP), whose efficiency depends heavily on the step size, a fixed constant related to the Lipschitz constant of ∇p(x) which may be slow.
In this paper, we present an accelerated algorithm by introducing an extrapolated factor to solve the multiple-set split feasibility problem.
The framework encompasses the algorithm presented by Censor et al.
(2005).
The convergence of the method is investigated, and numerical experiments are provided to illustrate the benefits of the extrapolation.
American Psychological Association (APA)
Dang, Yazheng& Gao, Yan. 2012. An Extrapolated Iterative Algorithm for Multiple-Set Split Feasibility Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-449709
Modern Language Association (MLA)
Dang, Yazheng& Gao, Yan. An Extrapolated Iterative Algorithm for Multiple-Set Split Feasibility Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-449709
American Medical Association (AMA)
Dang, Yazheng& Gao, Yan. An Extrapolated Iterative Algorithm for Multiple-Set Split Feasibility Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-449709
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449709