A fourth order method for finding a simple root of univariate function

In this paper, we describe an iterative method for approximating a simple zero $z$ of a real defined function. This method is a essentially based on the idea to extend Newton's method to be the inverse quadratic interpolation. We prove that for a sufficiently smooth function $f$ in a neighborho...

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Bibliographic Details
Main Authors: D. Sbibih, Serghini Abdelhafid, A. Tijini, A. Zidna
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-08-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24763