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A third-order modification of Newton method for systems of non-linear equations

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Abstract.
In this paper, we present a new modified Newton method for finding a zero of a vector function. It is proved that the order of convergence of the new method is three. This new method permits that the Jacobian is singular in some points. Thus the expected problem, due to the fact the Jacobian is numerically singular, is solved. By numerical examples, we show that this method is vast superior in some cases.

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.., 2007

Deskripsi Fisik

Applied Mathematics and Computation 191 (2007) 117–121

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

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