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 |
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| Online Access: | http://localhost/jnaat/journal/article/view/1232 |
| Summary: | 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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| ISSN: | 2457-6794 2501-059X |