Open AccessCode of a Multidimensional Fractional Quasi-Newton Method with an Order of Convergence at Least Quadratic using Recursive Programming
Author(s) -
A. Torres-Hernandez
Publication year - 2022
Publication title -
applied mathematics and sciences: an international journal
Language(s) - English
Resource type - Journals
ISSN - 2349-6223
DOI - 10.5121/mathsj.2022.9103
Subject(s) - mathematics , fractional programming , convergence (economics) , code (set theory) , newton's method , quadratic equation , sequential quadratic programming , quadratic programming , minor (academic) , order (exchange) , algebraic equation , fractional calculus , matrix (chemical analysis) , quasi newton method , nonlinear system , nonlinear programming , mathematical optimization , algebra over a field , computer science , pure mathematics , programming language , materials science , law , economic growth , composite material , geometry , quantum mechanics , political science , physics , set (abstract data type) , finance , economics
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