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|a 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.
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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. |
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Ferreira, O.P. aut, Projections onto convex sets on the sphere O.P. Ferreira; A. N Iusem; S. Z, Németh, Rio de Janeiro IMPA 2011, Online-Ressource (17 S., 168 KB), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, Pré-publicaç~oes / Instituto Nacional de Matemática Pura e Aplicada Série A, Artigos de pesquisadores e alunos de doutorado do IMPA 707, 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., Forschungsbericht (DE-588)4155043-2 (DE-627)10467444X (DE-576)209815833 gnd-content, Iusem, A. N aut, Németh, S. Z, aut, Instituto de Matemática Pura e Aplicada Rio de Janeiro Pré-publicações / A 707 707 (DE-627)731470036 (DE-576)376352140 (DE-600)2694287-2, http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/707.pdf application/pdf Verlag kostenfrei Volltext, http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/707.pdf LFER, LFER 2019-07-15T00:00:00Z |
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Ferreira, O.P., Iusem, A. N, Németh, S. Z, Projections onto convex sets on the sphere, Instituto de Matemática Pura e Aplicada, Pré-publicações / A, 707, 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., Forschungsbericht |
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Projections onto convex sets on the sphere |
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Projections onto convex sets on the sphere |
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Projections onto convex sets on the sphere O.P. Ferreira; A. N Iusem; S. Z, Németh |
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Projections onto convex sets on the sphere O.P. Ferreira; A. N Iusem; S. Z, Németh |
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Projections onto convex sets on the sphere O.P. Ferreira; A. N Iusem; S. Z, Németh |
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707. Projections onto convex sets on the sphere (2011) |
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Projections onto convex sets on the sphere |
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projections onto convex sets on the sphere |
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Forschungsbericht |
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Forschungsbericht |
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http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/707.pdf |
