Title of article
The cubic semilocal convergence on two variants of Newtonʹs method
Author/Authors
Zheng، نويسنده , , Quan and Bai، نويسنده , , Rongxia and Liu، نويسنده , , Zhongli، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
10
From page
480
To page
489
Abstract
In this paper, we discuss two variants of Newtonʹs method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. The numerical examples are presented to support the usefulness and significance.
Keywords
Nonlinear equation , Cubic semilocal convergence , Newtonיs method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2008
Journal title
Journal of Computational and Applied Mathematics
Record number
1554570
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