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Iterative algorithms with seminorm-induced oblique projections
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Scientific Computing.
2003 (English)Article in journal (Refereed) Published
Abstract [en]

A definition of oblique projections onto closed convex sets that use seminorms induced by diagonal matrices which may have zeros on the diagonal is introduced. Existence and uniqueness of such projections are secured via directional affinity of the sets with respect to the diagonal matrices involved. A block-iterative algorithmic scheme for solving the convex feasibility problem, employing seminorm-induced oblique projections, is constructed and its convergence for the consistent case is established. The fully simultaneous algorithm converges also in the inconsistent case to the minimum of a certain proximity function.

Place, publisher, year, edition, pages
2003. Vol. 2003, no 7, 387-406 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-22284DOI: 10.1155/S108533750321201XLocal ID: 1464OAI: oai:DiVA.org:liu-22284DiVA: diva2:242597
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-13

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Elfving, Tommy

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CiteExportLink to record
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