masterThesis
Método de Projeções Ortogonais
Fecha
2011-12-15Registro en:
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.
Autor
Araujo, Francinario Oliveira de
Resumen
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