Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming

 Applied Mathematics and Sciences: An International Journal (MathSJ )

ISSN : 2349 - 6223

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Current Issue

March 2022, Volume 9, Number 1

Code of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming

A. Torres-Hernandez, UNAM, Mexico

Abstract

The following paper presents a way to define and classify a family of fractional iterative methods through a group of fractional matrix operators, as well as a code written in recursive programming to implement a variant of the fractional quasi-Newton method, which through minor modifications, can be implemented in any fractional fixed-point method that allows solving nonlinear algebraic equation systems.

Keywords: 

Fractional Operators; Group Theory; Fractional Iterative Methods; Recursive Programming.

Original Source URL: https://airccse.com/mathsj/papers/9122mathsj03.pdf

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