On some iterative method for solving nonlinear equations | Zendy

O. V. Koval’chuk | Zendy; Myhaylo Bartish | Zendy; Natalya Ogorodnyk | Zendy

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On 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.

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