Ball analysis for an efficient sixth convergence order-scheme under weaker conditions
In this study we consider an efficient sixth order-scheme for solving Banach space valued equations. The convergence criteria in earlier studies involve higher order derivatives limiting applicability of these methods. In this study we use the first derivative only in our analysis to expand the us...
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| Format: | Article |
| Language: | English |
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ATNAA
2021-06-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1132048 |
| _version_ | 1797920795696037888 |
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| author | Ioannis K. Argyros Santhosh George |
| author_facet | Ioannis K. Argyros Santhosh George |
| author_sort | Ioannis K. Argyros |
| collection | DOAJ |
| description | In this study we consider an efficient sixth order-scheme for solving Banach space valued equations. The
convergence criteria in earlier studies involve higher order derivatives limiting applicability of these methods.
In this study we use the first derivative only in our analysis to expand the usage of these schemes. The
technique we use can be used on other schemes to obtain the same advantages. Numerical experiments
compare favorably our results to earlier ones. |
| first_indexed | 2024-04-10T14:06:28Z |
| format | Article |
| id | doaj.art-5b76cdc64ad04383849e08d566969a9b |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T14:06:28Z |
| publishDate | 2021-06-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-5b76cdc64ad04383849e08d566969a9b2023-02-15T16:09:58ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482021-06-015344545310.31197/atnaa.746959Ball analysis for an efficient sixth convergence order-scheme under weaker conditionsIoannis K. ArgyrosSanthosh GeorgeIn this study we consider an efficient sixth order-scheme for solving Banach space valued equations. The convergence criteria in earlier studies involve higher order derivatives limiting applicability of these methods. In this study we use the first derivative only in our analysis to expand the usage of these schemes. The technique we use can be used on other schemes to obtain the same advantages. Numerical experiments compare favorably our results to earlier ones.https://dergipark.org.tr/tr/download/article-file/1132048banach spacehigh convergence order schemessemi-local convergence |
| spellingShingle | Ioannis K. Argyros Santhosh George Ball analysis for an efficient sixth convergence order-scheme under weaker conditions Advances in the Theory of Nonlinear Analysis and its Applications banach space high convergence order schemes semi-local convergence |
| title | Ball analysis for an efficient sixth convergence order-scheme under weaker conditions |
| title_full | Ball analysis for an efficient sixth convergence order-scheme under weaker conditions |
| title_fullStr | Ball analysis for an efficient sixth convergence order-scheme under weaker conditions |
| title_full_unstemmed | Ball analysis for an efficient sixth convergence order-scheme under weaker conditions |
| title_short | Ball analysis for an efficient sixth convergence order-scheme under weaker conditions |
| title_sort | ball analysis for an efficient sixth convergence order scheme under weaker conditions |
| topic | banach space high convergence order schemes semi-local convergence |
| url | https://dergipark.org.tr/tr/download/article-file/1132048 |
| work_keys_str_mv | AT ioanniskargyros ballanalysisforanefficientsixthconvergenceorderschemeunderweakerconditions AT santhoshgeorge ballanalysisforanefficientsixthconvergenceorderschemeunderweakerconditions |