A family of new Newton-like methods | Elibrary Perpustakaan Universitas Riau

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A family of new Newton-like methods

Jisheng Kou - Nama Orang; Yitian Li - Nama Orang;

Abstract.
In this paper, we present a family of new Newton-like methods, which removes the severe condition f 0ðxÞ 6¼ 0 in a neighborhood of the required root imposed on Newton’s method. The new methods are quadratically convergent and moreover, have the same error equation as Newton’s method. The detailed analysis of convergence is supplied. The numerical results show that the new methods have definite practical utility.

Keywords: Newton’s method; Non-linear equations; Root-finding; Iterative method

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Judul Seri: Applied Mathematics and Computation
No. Panggil: -
Penerbit: London : Elsevier Science Inc.., 2007
Deskripsi Fisik: Applied Mathematics and Computation 192 (2007) 162–167
Bahasa: English
ISBN/ISSN: -
Klasifikasi: -
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: MATEMATIKA
Info Detail Spesifik: -
Pernyataan Tanggungjawab: agus

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A family of new Newton-like methods

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