A Family of Newton Type Iterative Methods for Solving Nonlinear Equations

A Family of Newton Type Iterative Methods for Solving Nonlinear Equations

In this paper, a general family of n-point Newton type iterative methods for solving nonlinear equations is constructed by using direct Hermite interpolation. The order of convergence of the new n-point iterative methods without memory is 2n requiring the evaluations of n functions and one first-ord...

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Bibliographic Details
Main Authors: Xiaofeng Wang, Yuping Qin, Weiyi Qian, Sheng Zhang, Xiaodong Fan
Format: Article
Language:English
Published: MDPI AG 2015-09-01
Series:Algorithms
Subjects:
multipoint iterative methods
nonlinear equations
R-order convergence
root-finding methods
Online Access:http://www.mdpi.com/1999-4893/8/3/786

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http://www.mdpi.com/1999-4893/8/3/786

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