On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions
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Universidad de La Rioja
info
ISSN: 1660-5446
Any de publicació: 2015
Volum: 13
Número: 4
Pàgines: 2287
Tipus: Article
Altres publicacions en: Mediterranean Journal of Mathematics
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Resum
When the semilocal convergence of Newton’s method is studied in Banach spaces under center Lipschitz conditions, it is usual to choose the point where the Lipschitz condition is centered as the initial point for Newton’s method. In this work, we improve this choice looking for a domain of initial points (a convergence domain). © 2015 Springer Basel