Parabola - parabola  combined method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 Hungary Publisher:Mathematical NotesJournal:Miskolc Mathematical Notes, volume 5, page 105 (issn: 1787-2405, eissn: 1787-2413,

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Authors: Szabó, Z.;

doi: 10.18514/mmn.2004.73

Parabola - parabola combined method

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Abstract

Summary: By using the always convergent method of tangential parabolas (but not using any interval-arithmetic tool), a combined root-finding iterative algorithm is given which provides a quadratically convergent descending sequence of compact real intervals \(J_{n}\) containing a simple zero of a twice differentiable real function defined on \(J_{0}\).

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Hungary

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Keywords

always convergent method, QA Mathematics / matematika, decreasing sequence of compact intervals, Numerical computation of solutions to single equations, root-finding iterative algorithm, nonlinear equation

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