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- Dykstras_projection_algorithm abstract "Dykstra's algorithm is a method that computes a point in the intersection of convex sets, and is a variant of the alternating projection method (also called the projections onto convex sets method). In its simplest form, the method finds a point in the intersection of two convex sets by iteratively projecting onto each of the convex set; it differs from the alternating projection method in that there are intermediate steps. A parallel version of the algorithm was developed by Gaffke and Mathar.The method is named after R. L. Dykstra who proposed it in the 1980s.A key difference between Dykstra's algorithm and the standard alternating projection method occurs when there is more than one point in the intersection of the two sets. In this case, the alternating projection method gives some arbitrary point in this intersection, whereas Dykstra's algorithm gives a specific point: the projection of r onto the intersection, where r is the initial point used in the algorithm,".
- Dykstras_projection_algorithm thumbnail Dykstra_algorithm.svg?width=300.
- Dykstras_projection_algorithm wikiPageID "30313771".
- Dykstras_projection_algorithm wikiPageLength "3662".
- Dykstras_projection_algorithm wikiPageOutDegree "8".
- Dykstras_projection_algorithm wikiPageRevisionID "673358161".
- Dykstras_projection_algorithm wikiPageWikiLink Convex_set.
- Dykstras_projection_algorithm wikiPageWikiLink John_von_Neumann.
- Dykstras_projection_algorithm wikiPageWikiLink Projection_(mathematics).
- Dykstras_projection_algorithm wikiPageWikiLink Projections_onto_convex_sets.
- Dykstras_projection_algorithm wikiPageWikiLink File:Dykstra_algorithm.svg.
- Dykstras_projection_algorithm wikiPageWikiLinkText "Dykstra's projection algorithm".
- Dykstras_projection_algorithm wikiPageUsesTemplate Template:Cite_journal.
- Dykstras_projection_algorithm wikiPageUsesTemplate Template:Distinguish.
- Dykstras_projection_algorithm hypernym Method.
- Dykstras_projection_algorithm type Software.
- Dykstras_projection_algorithm type Algorithm.
- Dykstras_projection_algorithm type Thing.
- Dykstras_projection_algorithm comment "Dykstra's algorithm is a method that computes a point in the intersection of convex sets, and is a variant of the alternating projection method (also called the projections onto convex sets method). In its simplest form, the method finds a point in the intersection of two convex sets by iteratively projecting onto each of the convex set; it differs from the alternating projection method in that there are intermediate steps.".
- Dykstras_projection_algorithm label "Dykstra's projection algorithm".
- Dykstras_projection_algorithm differentFrom Dijkstras_algorithm.
- Dykstras_projection_algorithm sameAs Q5318686.
- Dykstras_projection_algorithm sameAs m.0g5pwc_.
- Dykstras_projection_algorithm sameAs Q5318686.
- Dykstras_projection_algorithm wasDerivedFrom Dykstras_projection_algorithm?oldid=673358161.
- Dykstras_projection_algorithm depiction Dykstra_algorithm.svg.
- Dykstras_projection_algorithm isPrimaryTopicOf Dykstras_projection_algorithm.
