dc.contributorBielschowsky, Roberto Hugo
dc.contributor
dc.contributorhttp://lattes.cnpq.br/6666228138203519
dc.contributor
dc.contributorhttp://lattes.cnpq.br/2481613790501364
dc.contributorPereira, André Gustavo Campos
dc.contributor
dc.contributorhttp://lattes.cnpq.br/7174877398310072
dc.contributorMorais Filho, Daniel Cordeiro de
dc.contributor
dc.contributorhttp://lattes.cnpq.br/0266444096441721
dc.creatorAraujo, Francinario Oliveira de
dc.date.accessioned2015-02-25
dc.date.accessioned2015-03-03T15:28:32Z
dc.date.accessioned2022-10-06T12:29:36Z
dc.date.available2015-02-25
dc.date.available2015-03-03T15:28:32Z
dc.date.available2022-10-06T12:29:36Z
dc.date.created2015-02-25
dc.date.created2015-03-03T15:28:32Z
dc.date.issued2011-12-15
dc.identifierARAUJO, Francinario Oliveira de. Método de Projeções Ortogonais. 2011. 76 f. Dissertação (Mestrado em Probabilidade e Estatística; Modelagem Matemática) - Universidade Federal do Rio Grande do Norte, Natal, 2011.
dc.identifierhttps://repositorio.ufrn.br/jspui/handle/123456789/18641
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3953362
dc.description.abstractThe problem treated in this dissertation is to establish boundedness for the iterates of an iterative algorithm in <d which applies in each step an orthogonal projection on a straight line in <d, indexed in a (possibly infinite) family of lines, allowing arbitrary order in applying the projections. This problem was analyzed in a paper by Barany et al. in 1994, which found a necessary and suficient condition in the case d = 2, and analyzed further the case d > 2, under some technical conditions. However, this paper uses non-trivial intuitive arguments and its proofs lack suficient rigor. In this dissertation we discuss and strengthen the results of this paper, in order to complete and simplify its proofs
dc.publisherUniversidade Federal do Rio Grande do Norte
dc.publisherBR
dc.publisherUFRN
dc.publisherPrograma de Pós-Graduação em Matemática Aplicada e Estatística
dc.publisherProbabilidade e Estatística; Modelagem Matemática
dc.rightsAcesso Aberto
dc.subjectProjecões ortogonais
dc.subjectProjeções limitadas
dc.subjectFamília de retas
dc.subjectPropriedade Lipschitz
dc.subjectOrthogonal projections
dc.subjectprojections limited family lines
dc.subjectLipschitz property
dc.titleMétodo de Projeções Ortogonais
dc.typemasterThesis


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