Title of article
Some Third-Order Modifications of Newton’s Method
Author/Authors
Rahimi ، Bijan - Islamic Azad University, Takestan Branch , Ghanbari ، Behzad - Islamic Azad University, Takestan Branch , Gholami Porshokouhi ، Mehdi - Islamic Azad University, Takestan Branch
Pages
8
From page
116
To page
123
Abstract
In this paper a new family of methods, free from second derivative, is presented. This new family of methods is constructed such that convergence is of order three and requires two require two evaluations of the function and first derivative per iteration. To illustrate the efficiency and performance of the new family of methods, several numerical examples are presented. Further numerical comparisons are made with several other existing third-order methods to show the abilities of the presented family of methods.
Keywords
Iterative methods , Nonlinear equations , Newton s method
Journal title
General Mathematics Notes
Serial Year
2011
Journal title
General Mathematics Notes
Record number
2457391
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