A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders
We construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations. This method is verified to be optimally convergent. Various nonlinear equations confirm our proposed method with order of convergence of four and show that the computed asymptotic e...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/737305 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558703872573440 |
|---|---|
| author | Young Ik Kim Young Hee Geum |
| author_facet | Young Ik Kim Young Hee Geum |
| author_sort | Young Ik Kim |
| collection | DOAJ |
| description | We construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations. This method is verified to be optimally convergent. Various
nonlinear equations confirm our proposed method with order of convergence of four and show that the computed asymptotic error constant agrees with the theoretical one. |
| format | Article |
| id | doaj-art-07a1b98794514d339f1913b7ce1b0181 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-07a1b98794514d339f1913b7ce1b01812025-02-03T01:31:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/737305737305A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root FindersYoung Ik Kim0Young Hee Geum1Department of Applied Mathematics, Dankook University, Cheonan 330-714, Republic of KoreaDepartment of Applied Mathematics, Dankook University, Cheonan 330-714, Republic of KoreaWe construct a biparametric family of fourth-order iterative methods to compute multiple roots of nonlinear equations. This method is verified to be optimally convergent. Various nonlinear equations confirm our proposed method with order of convergence of four and show that the computed asymptotic error constant agrees with the theoretical one.http://dx.doi.org/10.1155/2014/737305 |
| spellingShingle | Young Ik Kim Young Hee Geum A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders Journal of Applied Mathematics |
| title | A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders |
| title_full | A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders |
| title_fullStr | A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders |
| title_full_unstemmed | A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders |
| title_short | A New Biparametric Family of Two-Point Optimal Fourth-Order Multiple-Root Finders |
| title_sort | new biparametric family of two point optimal fourth order multiple root finders |
| url | http://dx.doi.org/10.1155/2014/737305 |
| work_keys_str_mv | AT youngikkim anewbiparametricfamilyoftwopointoptimalfourthordermultiplerootfinders AT youngheegeum anewbiparametricfamilyoftwopointoptimalfourthordermultiplerootfinders AT youngikkim newbiparametricfamilyoftwopointoptimalfourthordermultiplerootfinders AT youngheegeum newbiparametricfamilyoftwopointoptimalfourthordermultiplerootfinders |