A hybrid laguerre method

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1983 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 23, pages 132-138 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Leuze, Michael R.;

doi: 10.1007/bf01937332

A hybrid laguerre method

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Abstract

A method combining iterations of the Laguerre and modified Laguerre root-finding methods was developed to correct a problem of the modified Laguerre method with “paired approximations”. Experimental results indicate that this hybrid Laguerre method successfully separates approximation pairs which inhibit convergence in the modified Laguerre method.

Related Organizations

Duke University
United States

Keywords

global convergence, zeros of polynomial, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Numerical computation of solutions to single equations, 23, 132-138 (1983), Laguerre's method

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