Fractional Newton-Raphson Method
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866914767151562752 |
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| author | Torres-Hernandez, A. Brambila-Paz, F. |
| author_facet | Torres-Hernandez, A. Brambila-Paz, F. |
| contents | The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_07634 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Fractional Newton-Raphson Method Torres-Hernandez, A. Brambila-Paz, F. Numerical Analysis Applied Physics The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson method. |
| title | Fractional Newton-Raphson Method |
| topic | Numerical Analysis Applied Physics |
| url | https://arxiv.org/abs/1710.07634 |