|Table of Contents|

 A Modified Steffensen Iterative Method with Fourth-order Convergence(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年06期
Page:
131-133
Research Field:
材料科学与工程
Publishing date:

Info

Title:
 A Modified Steffensen Iterative Method with Fourth-order Convergence
Author(s):
 WEI Jia HUANG Jia-yue
 ( School of Sciences,Harbin University of Science and Technology,Harbin 150080,China)
Keywords:
 Newton’s method Steffensen method quadratic interpolation
PACS:
O24
DOI:
10. 15938 /j. jhust. 2017. 06. 025
Abstract:
 A new fourth-order convergent iterative method formed by Newton’s method and Steffensen method is
presented to solve nonlinear equations in this paper. The new iteration formula uses derivative of quadratic
interpolation as substitute for derivative of function,so it is totally free from derivatives. Furthermore,this method
requires only three evaluations of the function by each iteration.

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Last Update: 2018-03-10