dc.contributor | Bielschowsky, Roberto Hugo | |
dc.contributor | | |
dc.contributor | http://lattes.cnpq.br/6666228138203519 | |
dc.contributor | | |
dc.contributor | http://lattes.cnpq.br/2481613790501364 | |
dc.contributor | Pereira, André Gustavo Campos | |
dc.contributor | | |
dc.contributor | http://lattes.cnpq.br/7174877398310072 | |
dc.contributor | Morais Filho, Daniel Cordeiro de | |
dc.contributor | | |
dc.contributor | http://lattes.cnpq.br/0266444096441721 | |
dc.creator | Araujo, Francinario Oliveira de | |
dc.date.accessioned | 2015-02-25 | |
dc.date.accessioned | 2015-03-03T15:28:32Z | |
dc.date.accessioned | 2022-10-06T12:29:36Z | |
dc.date.available | 2015-02-25 | |
dc.date.available | 2015-03-03T15:28:32Z | |
dc.date.available | 2022-10-06T12:29:36Z | |
dc.date.created | 2015-02-25 | |
dc.date.created | 2015-03-03T15:28:32Z | |
dc.date.issued | 2011-12-15 | |
dc.identifier | ARAUJO, 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.identifier | https://repositorio.ufrn.br/jspui/handle/123456789/18641 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3953362 | |
dc.description.abstract | The 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.publisher | Universidade Federal do Rio Grande do Norte | |
dc.publisher | BR | |
dc.publisher | UFRN | |
dc.publisher | Programa de Pós-Graduação em Matemática Aplicada e Estatística | |
dc.publisher | Probabilidade e Estatística; Modelagem Matemática | |
dc.rights | Acesso Aberto | |
dc.subject | Projecões ortogonais | |
dc.subject | Projeções limitadas | |
dc.subject | Família de retas | |
dc.subject | Propriedade Lipschitz | |
dc.subject | Orthogonal projections | |
dc.subject | projections limited family lines | |
dc.subject | Lipschitz property | |
dc.title | Método de Projeções Ortogonais | |
dc.type | masterThesis | |