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Construction of simple majorizing sequences for iterative methods.

Authors :
Ezquerro, J.A.
Hernández-Verón, M.A.
Source :
Applied Mathematics Letters. Dec2019, Vol. 98, p149-156. 8p.
Publication Year :
2019

Abstract

The interest of the majorizing (scalar) sequences lies in that, from their convergence, we can deduce the convergence of an iterative method in Banach spaces. We propose a new technique to construct majorizing sequences that generalizes that given by Kantorovich for Newton's method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08939659
Volume :
98
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
137946916
Full Text :
https://doi.org/10.1016/j.aml.2019.06.011