Aitken-Steffensen-type methods for nonsmooth functions (II)
We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a nonlinear scalar equation. The auxiliary functions appearing in the method are constructed under the hypothesis that the nonlinear application is not differentiable on a...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2002-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/724 |
| _version_ | 1818529500103704576 |
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| author | Ion Păvăloiu |
| author_facet | Ion Păvăloiu |
| author_sort | Ion Păvăloiu |
| collection | DOAJ |
| description | We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a nonlinear scalar equation. The auxiliary functions appearing in the method are constructed under the hypothesis that the nonlinear application is not differentiable on an interval containing the solution. |
| first_indexed | 2024-12-11T17:07:40Z |
| format | Article |
| id | doaj.art-aa0168ef6a464ee5adbdd03d17514ba6 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:07:40Z |
| publishDate | 2002-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-aa0168ef6a464ee5adbdd03d17514ba62022-12-22T00:57:38ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2002-08-01312Aitken-Steffensen-type methods for nonsmooth functions (II)Ion Păvăloiu0Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian AcademyWe present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a nonlinear scalar equation. The auxiliary functions appearing in the method are constructed under the hypothesis that the nonlinear application is not differentiable on an interval containing the solution.https://ictp.acad.ro/jnaat/journal/article/view/724Aitken-Steffensen iterations |
| spellingShingle | Ion Păvăloiu Aitken-Steffensen-type methods for nonsmooth functions (II) Journal of Numerical Analysis and Approximation Theory Aitken-Steffensen iterations |
| title | Aitken-Steffensen-type methods for nonsmooth functions (II) |
| title_full | Aitken-Steffensen-type methods for nonsmooth functions (II) |
| title_fullStr | Aitken-Steffensen-type methods for nonsmooth functions (II) |
| title_full_unstemmed | Aitken-Steffensen-type methods for nonsmooth functions (II) |
| title_short | Aitken-Steffensen-type methods for nonsmooth functions (II) |
| title_sort | aitken steffensen type methods for nonsmooth functions ii |
| topic | Aitken-Steffensen iterations |
| url | https://ictp.acad.ro/jnaat/journal/article/view/724 |
| work_keys_str_mv | AT ionpavaloiu aitkensteffensentypemethodsfornonsmoothfunctionsii |