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Iterative Approaches to the Split Feasibility Problem

In this paper we discuss iterative algorithms for solving the split feasibility
problem (SFP). We study the CQ algorithm from two approaches: one
is an optimization approach and the other is a fixed point approach. We
prove its convergence first as the gradient-projection algorithm and secondly
as a fixed point algorithm. We also study a relaxed CQ algorithm in the
case where the sets C and Q are level sets of convex functions. In such case
we present a convergence theorem and provide a different and much simpler
proof compared with that of Yang [7].

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0623109-212714
Date23 June 2009
CreatorsChien, Yin-ting
ContributorsJen-chih Yao, Hong-kun Xu, Lai-jiu Lin, Ngai-ching Wong
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0623109-212714
Rightsunrestricted, Copyright information available at source archive

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