A fifth-order family of modified Newton methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1971 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 11, pages 409-412 (issn: 0006-3835, eissn: 1572-9125,

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Authors: King, Richard F.;

doi: 10.1007/bf01939409

A fifth-order family of modified Newton methods

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Abstract

Addition of a correction term every other Newton iteration provides a fifth-order method for finding simple zeros of nonlinear functions. A two-parameter family of such methods is developed. Each family member requires the given function and its derivative to be evaluated at two points per step.

Related Organizations

Argonne National Laboratory
United States

Keywords

Numerical computation of solutions to single equations

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