On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications
This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. Some numerical experiments, where the analyzed methods present better behavior than some classical sch...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/782170 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568113070080000 |
|---|---|
| author | S. Amat C. Bermúdez S. Busquier M. J. Legaz S. Plaza |
| author_facet | S. Amat C. Bermúdez S. Busquier M. J. Legaz S. Plaza |
| author_sort | S. Amat |
| collection | DOAJ |
| description | This paper is devoted to the study of a class of high-order iterative
methods for nonlinear equations on Banach spaces. An analysis of
the convergence under Kantorovich-type conditions is proposed. Some
numerical experiments, where the analyzed methods present better behavior
than some classical schemes, are presented. These applications
include the approximation of some quadratic and integral equations. |
| format | Article |
| id | doaj-art-e710f83a76ae496891872df2a04cb48f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e710f83a76ae496891872df2a04cb48f2025-02-03T00:59:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/782170782170On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some ApplicationsS. Amat0C. Bermúdez1S. Busquier2M. J. Legaz3S. Plaza4Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, SpainDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, SpainDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, SpainDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, SpainDepartamento de Matemáticas, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, ChileThis paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. Some numerical experiments, where the analyzed methods present better behavior than some classical schemes, are presented. These applications include the approximation of some quadratic and integral equations.http://dx.doi.org/10.1155/2012/782170 |
| spellingShingle | S. Amat C. Bermúdez S. Busquier M. J. Legaz S. Plaza On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications Abstract and Applied Analysis |
| title | On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications |
| title_full | On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications |
| title_fullStr | On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications |
| title_full_unstemmed | On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications |
| title_short | On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications |
| title_sort | on a family of high order iterative methods under kantorovich conditions and some applications |
| url | http://dx.doi.org/10.1155/2012/782170 |
| work_keys_str_mv | AT samat onafamilyofhighorderiterativemethodsunderkantorovichconditionsandsomeapplications AT cbermudez onafamilyofhighorderiterativemethodsunderkantorovichconditionsandsomeapplications AT sbusquier onafamilyofhighorderiterativemethodsunderkantorovichconditionsandsomeapplications AT mjlegaz onafamilyofhighorderiterativemethodsunderkantorovichconditionsandsomeapplications AT splaza onafamilyofhighorderiterativemethodsunderkantorovichconditionsandsomeapplications |