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A generalization of regula falsi
Authors:Florian A. Potra  Vlastimil Pták
Affiliation:(1) Department of Mathematics, National Institute for Scientific and Technical Creation, Bd. P"abreve"cii 220, 77538 Bucharest, România;(2) Institute of Mathematics, Czechoslovak Academy of Sciences, Zitna 25, 11567 Praha 1, Czechoslovakia
Abstract:Summary The method of nondiscrete mathematical induction is applied to a multistep variant of the secant method. Optimal conditions for convergence as well as error estimates, sharp in every step, are obtained.
Keywords:AMS (MOS)  65H10  CR: 5.15
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