Functions and Analysis

    

Roots of Real Polynomial Functions and of Real Functions

Authors: Juan Jorge Isaac Lopez

The Newton-Raphson method is the most widely used numerical calculation method to determine the roots of Real polynomial functions, but it has the drawback that it does not always converge. The method proposed in this work establishes the convergence condition and the development of its application, and therefore will always converge towards the roots of the function. This will mean a conclusive advance for the determination of roots of Real polynomial functions. According to interpretation of the Abel-Ruffini theorem, the roots of polynomial functions of degree greater than 4 can only be determined by numerical calculation.

Comments: 4 Pages.

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[v1] 2023-11-08 01:11:54

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