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].
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0623109-212714 |
| Date | 23 June 2009 |
| Creators | Chien, Yin-ting |
| Contributors | Jen-chih Yao, Hong-kun Xu, Lai-jiu Lin, Ngai-ching Wong |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0623109-212714 |
| Rights | unrestricted, Copyright information available at source archive |
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