Accessibility of Solutions by Newton's Method
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Universidad de La Rioja
info
ISSN: 0020-7160
Datum der Publikation: 1995
Ausgabe: 57
Nummer: 3-4
Seiten: 239-247
Art: Artikel
Andere Publikationen in: International Journal of Computer Mathematics
Zusammenfassung
We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples