On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem
We present a projection algorithm which modifies the method proposed by Censor and Elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (MSFP). The global rates of convergence are firstly investigated and the sequences generated by two algorithm...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/347401 |
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| _version_ | 1832549578133471232 |
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| author | Qiao-Li Dong Songnian He |
| author_facet | Qiao-Li Dong Songnian He |
| author_sort | Qiao-Li Dong |
| collection | DOAJ |
| description | We present a projection algorithm which modifies the method proposed by Censor and Elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (MSFP). The global rates of convergence are firstly investigated and the sequences generated by two algorithms are proved to converge to a solution of the MSFP. The efficiency of the proposed algorithms is illustrated by some numerical tests. |
| format | Article |
| id | doaj-art-6327c371be464e9e965afc9e31c5aa07 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6327c371be464e9e965afc9e31c5aa072025-02-03T06:10:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/347401347401On Two Projection Algorithms for the Multiple-Sets Split Feasibility ProblemQiao-Li Dong0Songnian He1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe present a projection algorithm which modifies the method proposed by Censor and Elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (MSFP). The global rates of convergence are firstly investigated and the sequences generated by two algorithms are proved to converge to a solution of the MSFP. The efficiency of the proposed algorithms is illustrated by some numerical tests.http://dx.doi.org/10.1155/2013/347401 |
| spellingShingle | Qiao-Li Dong Songnian He On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem Journal of Applied Mathematics |
| title | On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem |
| title_full | On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem |
| title_fullStr | On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem |
| title_full_unstemmed | On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem |
| title_short | On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem |
| title_sort | on two projection algorithms for the multiple sets split feasibility problem |
| url | http://dx.doi.org/10.1155/2013/347401 |
| work_keys_str_mv | AT qiaolidong ontwoprojectionalgorithmsforthemultiplesetssplitfeasibilityproblem AT songnianhe ontwoprojectionalgorithmsforthemultiplesetssplitfeasibilityproblem |