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A modification of Newton method with third-order convergence

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Abstract.
In this paper, we present a new modification of Newton method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Per iteration the new method requires two evaluations of the function and one evaluation of its first derivative. Thus, the new method is preferable if the computational costs of the first derivative are equal or more than those of the function itself. Its practical utility is demonstrated by numerical examples.

Keywords: Newton method; Third-order convergence; Non-linear equations; Root-finding; Iterative method

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Informasi Detail

Judul Seri

Applied Mathematics and Computation

No. Panggil

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Penerbit

London : Elsevier Science Inc.., 2006

Deskripsi Fisik

Applied Mathematics and Computation 181 (2006) 1106–1111

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

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