Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2019.tde-19112019-153930
Document
Author
Full name
Newton Ribeiro dos Santos
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1983
Supervisor
Committee
Linhares, Odelar Leite (President)
Andrade, Celia Maria Finazzi de
Barros, Ivan de Queiroz
Bennaton, Jocelyn Freitas
Favaro, Marielza Jorge
Title in Portuguese
UM MÉTODO SEMI-ITERATIVO, RELATIVO AO MÉTODO ITERATIVO DE JACOBI DE GRAU DOIS, PARA RESOLUÇÃO DE SISTEMAS LINEARES ALGÉBRICOS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
NEW SEMI-ITERATIVE METHOD, WITH RESPECT TO JACOBI SECOND DEGREE ITERATIVE METHOD, FOR THE RESOLUTION OF ALGEBRAIC LINEAR SYSTEMS
Keywords in English
Not available
Abstract in English
A new semi-iterative method (JII-SI method) with respect to the second degree Jacobi method (JII method) is de veloped. Its convergence is proved for the following two classes of matrices: a) Matrices with Propertiy Ap, with some restrictions. b) Special class of matrices cited in the text, whose eigensystem is "a priori" know. The comparison of JII-SI and JII method is done and computational aspects are treated as well.
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Publishing Date
2019-11-19