Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference. Clearly such method will need an additional starting value. Here we consider several derivative-free me...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | http://localhost/journal/article/view/1232 |
| _version_ | 1797848022548217856 |
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| author | Beny Neta |
| author_facet | Beny Neta |
| author_sort | Beny Neta |
| collection | DOAJ |
| description |
Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference. Clearly such method will need an additional starting value. Here we consider several derivative-free methods and compare them using the idea of basin of attraction.
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| first_indexed | 2024-04-09T18:21:49Z |
| format | Article |
| id | doaj.art-2711eb167d62447bb16c265935277a07 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-09T18:21:49Z |
| publishDate | 2020-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-2711eb167d62447bb16c265935277a072023-04-12T06:09:11ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-12-0149210.33993/jnaat492-1232Basin attractors for derivative-free methods to find simple roots of nonlinear equationsBeny Neta0Naval Postgraduate School, USA Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference. Clearly such method will need an additional starting value. Here we consider several derivative-free methods and compare them using the idea of basin of attraction. http://localhost/journal/article/view/1232Basin of attractionderivative-free methodssimple rootsnonlinear equations |
| spellingShingle | Beny Neta Basin attractors for derivative-free methods to find simple roots of nonlinear equations Journal of Numerical Analysis and Approximation Theory Basin of attraction derivative-free methods simple roots nonlinear equations |
| title | Basin attractors for derivative-free methods to find simple roots of nonlinear equations |
| title_full | Basin attractors for derivative-free methods to find simple roots of nonlinear equations |
| title_fullStr | Basin attractors for derivative-free methods to find simple roots of nonlinear equations |
| title_full_unstemmed | Basin attractors for derivative-free methods to find simple roots of nonlinear equations |
| title_short | Basin attractors for derivative-free methods to find simple roots of nonlinear equations |
| title_sort | basin attractors for derivative free methods to find simple roots of nonlinear equations |
| topic | Basin of attraction derivative-free methods simple roots nonlinear equations |
| url | http://localhost/journal/article/view/1232 |
| work_keys_str_mv | AT benyneta basinattractorsforderivativefreemethodstofindsimplerootsofnonlinearequations |