| On the String Averaging Method for Sparse Common Fixed Points Problems. | |
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MedLine Citation:
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PMID: 20300484 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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We study the common fixed point problem for the class of directed operators. This class is important because many commonly used nonlinear operators in convex optimization belong to it. We propose a definition of sparseness of a family of operators and investigate a string-averaging algorithmic scheme that favorably handles the common fixed points problem when the family of operators is sparse. The convex feasibility problem is treated as a special case and a new subgradient projections algorithmic scheme is obtained. |
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Authors:
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Yair Censor; Alexander Segal |
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Publication Detail:
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Type: JOURNAL ARTICLE |
Journal Detail:
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Title: International transactions in operational research : a journal of The International Federation of Operational Research Societies Volume: 16 ISSN: 1475-3995 ISO Abbreviation: - Publication Date: 2009 Jul |
Date Detail:
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Created Date: 2010-7-13 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101520283 Medline TA: Int Trans Oper Res Country: - |
Other Details:
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Languages: ENG Pagination: 481-494 Citation Subset: - |
Affiliation:
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Department of Mathematics, University of Haifa Mt. Carmel, Haifa 31905, Israel. |
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| MeSH Terms | |
Descriptor/Qualifier:
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| Grant Support | |
ID/Acronym/Agency:
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R01 HL070472-08//NHLBI NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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