Estimating the multiplicity of a root

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1976 Germany English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 27, pages 121-131 (issn: 0029-599X, eissn: 0945-3245,

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Authors: Hansen, E.; Patrick, M.;

doi: 10.1007/bf01399090

Estimating the multiplicity of a root

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Abstract

One point iteration functions for approximating roots of a function of a single variable and sequences generated by them are considered. Methods of estimating the multiplicity of the roots to which such sequences are converging are given. In particular, multiplicity estimators are given for Newton's method, the modified Newton's method, and Laguerre's method. It is shown that the estimators for Newton's method and Laguerre's method offer improvement over those of Rall and Dekker, respectively.

Country

Germany

Related Organizations

DigiZeitschriften
Germany
Duke University
United States

Keywords

510.mathematics, Numerical computation of solutions to single equations, Article

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