Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations
We introduce two higher-order iterative methods for finding multiple zeros of nonlinear equations. Per iteration the new methods require three evaluations of function and one of its first derivatives. It is proved that the two methods have a convergence of order five or six.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/404635 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567402876895232 |
|---|---|
| author | Rajinder Thukral |
| author_facet | Rajinder Thukral |
| author_sort | Rajinder Thukral |
| collection | DOAJ |
| description | We introduce two higher-order iterative methods for finding multiple zeros of nonlinear equations. Per iteration the new methods require three evaluations of function and one of its first derivatives. It is proved that the two methods have a convergence of order five or six. |
| format | Article |
| id | doaj-art-c646ab401688427b9643a9ff35c4cae6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c646ab401688427b9643a9ff35c4cae62025-02-03T01:01:44ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/404635404635Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear EquationsRajinder Thukral0Padé Research Centre, 39 Deanswood Hill, Leeds, West Yorkshire LS17 5JS, UKWe introduce two higher-order iterative methods for finding multiple zeros of nonlinear equations. Per iteration the new methods require three evaluations of function and one of its first derivatives. It is proved that the two methods have a convergence of order five or six.http://dx.doi.org/10.1155/2013/404635 |
| spellingShingle | Rajinder Thukral Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations Journal of Mathematics |
| title | Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations |
| title_full | Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations |
| title_fullStr | Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations |
| title_full_unstemmed | Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations |
| title_short | Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations |
| title_sort | introduction to higher order iterative methods for finding multiple roots of nonlinear equations |
| url | http://dx.doi.org/10.1155/2013/404635 |
| work_keys_str_mv | AT rajinderthukral introductiontohigherorderiterativemethodsforfindingmultiplerootsofnonlinearequations |