Newton-type iterative methods for finding zeros having higher multiplicity

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...

Full description

Bibliographic Details
Main Authors: Pankaj Jain, Kriti Sethi
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
non-linear equations
Newton method
Steffensen method
multiple zeros
order of convergence
Online Access:http://dx.doi.org/10.1080/23311835.2016.1277463
id doaj-2823405c89f04ce88b220263aecfecd9
record_format Article
spelling doaj-2823405c89f04ce88b220263aecfecd92020-11-24T21:23:53ZengTaylor & Francis GroupCogent Mathematics2331-18352016-12-013110.1080/23311835.2016.12774631277463Newton-type iterative methods for finding zeros having higher multiplicityPankaj Jain0Kriti Sethi1South Asian UniversitySouth Asian UniversityIn 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.http://dx.doi.org/10.1080/23311835.2016.1277463non-linear equationsNewton methodSteffensen methodmultiple zerosorder of convergence
collection DOAJ
language English
format Article
sources DOAJ
author Pankaj Jain
Kriti Sethi
spellingShingle Pankaj Jain
Kriti Sethi
Newton-type iterative methods for finding zeros having higher multiplicity
Cogent Mathematics
non-linear equations
Newton method
Steffensen method
multiple zeros
order of convergence
author_facet Pankaj Jain
Kriti Sethi
author_sort Pankaj Jain
title Newton-type iterative methods for finding zeros having higher multiplicity
title_short Newton-type iterative methods for finding zeros having higher multiplicity
title_full Newton-type iterative methods for finding zeros having higher multiplicity
title_fullStr Newton-type iterative methods for finding zeros having higher multiplicity
title_full_unstemmed Newton-type iterative methods for finding zeros having higher multiplicity
title_sort newton-type iterative methods for finding zeros having higher multiplicity
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2016-12-01
description 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.
topic non-linear equations
Newton method
Steffensen method
multiple zeros
order of convergence
url http://dx.doi.org/10.1080/23311835.2016.1277463
work_keys_str_mv AT pankajjain newtontypeiterativemethodsforfindingzeroshavinghighermultiplicity
AT kritisethi newtontypeiterativemethodsforfindingzeroshavinghighermultiplicity
_version_ 1725990695732248576

Similar Items