On Schröder's families of root-finding methods (Q2654184)
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| English | On Schröder's families of root-finding methods |
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On Schröder's families of root-finding methods (English)
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15 January 2010
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Rediscovering some old root-finding methods is not a rarity in numerical analysis. In this paper, the authors consider two families of root-finding methods for solving nonlinear equations. Both the families were derived by \textit{E. Schröder} [Clebsch. Ann. II. 317--365 (1870; JFM 02.0042.02)]. The main goal is to prove the equivalence of the rediscovered methods with Schröder's methods.
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nonlinear equations
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iteration methods
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convergence rate
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root-finding methods
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