Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions
In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier re...
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| Format: | Article |
| Language: | English |
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Sciendo
2016-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2016-0013 |
| _version_ | 1818477122946072576 |
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| author | Argyros Ioannis K. George Santhosh |
| author_facet | Argyros Ioannis K. George Santhosh |
| author_sort | Argyros Ioannis K. |
| collection | DOAJ |
| description | In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. |
| first_indexed | 2024-12-10T09:34:08Z |
| format | Article |
| id | doaj.art-b9d27ef10c314e0b96ebec95e1c94886 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-12-10T09:34:08Z |
| publishDate | 2016-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-b9d27ef10c314e0b96ebec95e1c948862022-12-22T01:54:14ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072016-12-01542374610.1515/awutm-2016-0013awutm-2016-0013Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak ConditionsArgyros Ioannis K.0George Santhosh1Department of Mathematical Sciences, Cameron University Lawton, OK 73505, United States of AmericaDepartment of Mathematical and Computational Sciences, NIT Karnataka, 575 025, IndiaIn the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.https://doi.org/10.1515/awutm-2016-0013newton-type methodradius of convergencelocal convergencerestricted convergence domains. |
| spellingShingle | Argyros Ioannis K. George Santhosh Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions Annals of the West University of Timisoara: Mathematics and Computer Science newton-type method radius of convergence local convergence restricted convergence domains. |
| title | Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions |
| title_full | Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions |
| title_fullStr | Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions |
| title_full_unstemmed | Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions |
| title_short | Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions |
| title_sort | convergence analysis of a three step newton like method for nonlinear equations in banach space under weak conditions |
| topic | newton-type method radius of convergence local convergence restricted convergence domains. |
| url | https://doi.org/10.1515/awutm-2016-0013 |
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