Bielschowsky, Roberto HugoAraujo, Francinario Oliveira de2015-03-032015-02-252015-03-032011-12-15ARAUJO, 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.https://repositorio.ufrn.br/jspui/handle/123456789/18641The 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 proofsapplication/pdfAcesso AbertoProjecões ortogonaisProjeções limitadasFamília de retasPropriedade LipschitzOrthogonal projectionsprojections limited family linesLipschitz propertymasterThesisCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA