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Projections onto convex sets on the sphere

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Personen und Körperschaften: Ferreira, O.P. (VerfasserIn), Iusem, A. N (VerfasserIn), Németh, S. Z (VerfasserIn)
Titel: Projections onto convex sets on the sphere/ O.P. Ferreira; A. N Iusem; S. Z, Németh
Format: E-Book
Sprache: Englisch
veröffentlicht:
Rio de Janeiro IMPA 2011
Gesamtaufnahme: Instituto de Matemática Pura e Aplicada: Pré-publicações / A ; 707
Schlagwörter:
Forschungsbericht
Quelle: Verbunddaten SWB
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Zusammenfassung: In this paper some concepts of convex analysis are extended in an intrinsic way from the Euclidean space to the sphere. In particular, relations between convex sets in the sphere and pointed convex cones are presented. Several characterizations of the usual projection onto a Euclidean convex set are extended to the sphere and an extension of Moreau' s theorem for projection onto a pointed convex cone is exhibited.
Umfang: Online-Ressource (17 S., 168 KB)