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
Datum der Publikation: 2015
Ausgabe: 13
Nummer: 4
Seiten: 2287
Art: Artikel
Andere Publikationen in: Mediterranean Journal of Mathematics
Projekte im Zusammenhang
Zusammenfassung
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