Local comparison of two sixth order solvers in Banach space under weak conditions
Two efficient sixth order solvers are compared involving Banach space valued operators. Earlier papers use hypotheses up to the seventh derivative that do not appear in the solver in the local convergence analysis. But we use hypotheses only on the first derivative. Hence, we expand the applicabil...
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2019-11-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/850249 |
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doaj-a9740d217f574e02ac54c251cb7d196d2020-11-25T01:28:35ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482019-11-013422023010.31197/atnaa.581855Local comparison of two sixth order solvers in Banach space under weak conditionsloannis K. Argyros0Santhosh George1Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USADepartment of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025Two efficient sixth order solvers are compared involving Banach space valued operators. Earlier papers use hypotheses up to the seventh derivative that do not appear in the solver in the local convergence analysis. But we use hypotheses only on the first derivative. Hence, we expand the applicability of these solvers. We use examples to test the older as well as our results. https://dergipark.org.tr/en/download/article-file/850249banach space fréchet derivative sixth order of convergence local convergence. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
loannis K. Argyros Santhosh George |
| spellingShingle |
loannis K. Argyros Santhosh George Local comparison of two sixth order solvers in Banach space under weak conditions Advances in the Theory of Nonlinear Analysis and its Applications banach space fréchet derivative sixth order of convergence local convergence. |
| author_facet |
loannis K. Argyros Santhosh George |
| author_sort |
loannis K. Argyros |
| title |
Local comparison of two sixth order solvers in Banach space under weak conditions |
| title_short |
Local comparison of two sixth order solvers in Banach space under weak conditions |
| title_full |
Local comparison of two sixth order solvers in Banach space under weak conditions |
| title_fullStr |
Local comparison of two sixth order solvers in Banach space under weak conditions |
| title_full_unstemmed |
Local comparison of two sixth order solvers in Banach space under weak conditions |
| title_sort |
local comparison of two sixth order solvers in banach space under weak conditions |
| publisher |
ATNAA |
| series |
Advances in the Theory of Nonlinear Analysis and its Applications |
| issn |
2587-2648 2587-2648 |
| publishDate |
2019-11-01 |
| description |
Two efficient sixth order solvers are compared involving Banach space valued operators. Earlier papers use
hypotheses up to the seventh derivative that do not appear in the solver in the local convergence analysis.
But we use hypotheses only on the first derivative. Hence, we expand the applicability of these solvers. We
use examples to test the older as well as our results.
|
| topic |
banach space fréchet derivative sixth order of convergence local convergence. |
| url |
https://dergipark.org.tr/en/download/article-file/850249 |
| work_keys_str_mv |
AT loanniskargyros localcomparisonoftwosixthordersolversinbanachspaceunderweakconditions AT santhoshgeorge localcomparisonoftwosixthordersolversinbanachspaceunderweakconditions |
| _version_ |
1725100710317522944 |