An interval version of the secant method

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1984 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 24, pages 366-372 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Neumaier, A.;

doi: 10.1007/bf02136035

An interval version of the secant method

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Abstract

The paper is mainly concerned with a modification of the secant method which is based on interval arithmetic ideas. Interval arithmetic is used to force global convergence of any local zero finder without sacrifying convergence speed. Unfortunately no numerical examples are given.

Related Organizations

University of Freiburg
Germany

Keywords

secant method, global convergence, Interval and finite arithmetic, Interval arithmetic, Numerical computation of solutions to single equations, local zero finder

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