Matrix polynomial

Properties of polynomial roots

Operating system

Local convergence

Physics

Mathematical optimization

Mathematical analysis

Nonlinear system

Iterative method

Work (physics)

Newton fractal

Dentistry

Calculus (dental)

Space (punctuation)

Applied mathematics

Mathematics

Computer science

Quantum mechanics

Medicine

Newton's method

Polynomial

Thermodynamics

Applied Mathematics and Sciences An International Journal (MathSJ)

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.

Fractional Newton-Raphson Method