Open AccessOn some iterative method for solving nonlinear equations
Author(s) -
O. V. Koval’chuk,
Myhaylo Bartish,
Natalya Ogorodnyk
Publication year - 2019
Publication title -
modeling, control and information technologies
Language(s) - English
Resource type - Journals
eISSN - 2707-1049
pISSN - 2707-1030
DOI - 10.31713/mcit.2019.28
Subject(s) - jacobian matrix and determinant , differentiable function , nonlinear system , iterative method , mathematics , operator (biology) , differential equation , mathematical analysis , mathematical optimization , physics , repressor , quantum mechanics , transcription factor , gene , biochemistry , chemistry
We study an iterative differential-difference three-step method for solving system of nonlinear equations, which uses, instead of the Jacobian, the sum of derivate of differentiable parts of operator and divided difference of nondifferentiable parts. The numerical examples illustrate how the methods works.