Proefschrift--Groningen. / "Stellingen": 3 p. at end. Bibliographical foot-notes.

Thesis (Ph. D.)--Johns Hopkins University, 1894. / Biographical sketch.

Thesis (Ph. D.)--University of Wisconsin, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1970. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thèse--Faculté des sciences de Nancy.

No description available.

Orientador : Pushpa Narayan Rathie / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Ciencia da Computação / Made available in DSpace on 2018-07-14T08:30:22Z (GMT). No. of bitstreams: 1 Charnet_EugeniaMariaReginato_M.pdf: 1021439 bytes, checksum: 312449884bab5ca52890221b1707a8ce (MD5) Previous issue date: 1979 / Resumo: Não informado / Abstract: Not informed / Mestrado / Mestre em Estatística

The main problem considered is the effect due to changes in the shape of the region on the convergence rate of the Gauss-Seidel iterative method for solving the Dirichlet Difference Problem. Experimentally, it is found that as a rule the number of iterations required to attain convergence decreases as the perimeter of the region is increased. The ensuing theoretical investigation leads to the examination of the corresponding iteration matrices and a qualitative theory results which predicts that the number of iterations should increase with the number of nonzero off - diagonal elements in the matrix of the linear system. Further experiments indicate that the latter relationship is no more precise than the former; the lack of rigour in the theory is undoubtedly to blame. Better results, are obtained in the sub-problem of estimating the number of iterations necessary to satisfy a suitable convergence criterion, given a good estimate of the spectral radius of the iteration matrix corresponding to the region under study. / Science, Faculty of / Mathematics, Department of / Graduate

Let Wn be the n th partial sum of a Walsh series. There is a necessary and sufficient condition for pointwise convergence of the sequence W₂n , (n = 0, 1, 2,…), namely, [ Formulas omitted ] The aim of this thesis is to formulate and discuss a similar convergence equivalence for trigonometric series. / Science, Faculty of / Mathematics, Department of / Graduate

No description available.