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Shadowing orbits and Kantorovich's theorem
Authors:K.P. Hadeler
Affiliation:Biomathematik, Universit?t Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany e-mail: k.p.hadeler@uni-tuebingen.de, DE
Abstract:Summary. Some recent results on the existence of shadowing orbits are related to Kantorovich's theorems on convergence of Newton's method. This connection leads to short proofs and to better understanding of some dilatation measures and existence results. Received March 24, 1994 / Revised version received May 15, 1995
Keywords:Mathematics Subject Classification (1991): 58F03   58F08   58F15   65J15
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