Newton-type iterative methods for finding zeros having higher multiplicity
In this paper, using the idea of Gander, families of several iterative methods for solving non-linear equations $ f(x)=0 $ having zeros of higher multiplicity are presented. The families of methods presented here include methods of Newton type, Steffensen type and their variant. We obtain families o...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Taylor & Francis Group
2016-12-01
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Series: | Cogent Mathematics |
Subjects: | |
Online Access: | http://dx.doi.org/10.1080/23311835.2016.1277463 |
Summary: | In this paper, using the idea of Gander, families of several iterative methods for solving non-linear equations $ f(x)=0 $ having zeros of higher multiplicity are presented. The families of methods presented here include methods of Newton type, Steffensen type and their variant. We obtain families of methods of order 2 as well as 3. Some numerical examples are also presented in support of these methods. |
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ISSN: | 2331-1835 |