Fractional Newton-Raphson method
Fractional Newton-Raphson method
Citació
- Torres-Hernandez A, Brambila-Paz F. Fractional Newton-Raphson method. Applied mathematics and sciences. 2021;8(1):1-13. DOI: 10.5121/mathsj.2021.8101
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Descripció
Resum
The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n, with n ∈ 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.