On some iterative method for solving nonlinear equations

Authors

  • Olya Kovalchuk Lviv national university named after Ivan Franko
  • Myhaylo Bartish Department of Theory of Optimal Processes Ivan Franko National University of Lviv
  • Natalya Ogorodnyk Department of Theory of Optimal Processes Ivan Franko National University of Lviv

DOI:

https://doi.org/10.31713/MCIT.2019.28

Keywords:

Newton method; nonlinear system; nondifferentiability; secant method;

Abstract

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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Published

2019-11-05

How to Cite

Kovalchuk, O., Bartish, M., & Ogorodnyk, N. (2019). On some iterative method for solving nonlinear equations. Modeling, Control and Information Technologies, (3), 7–8. https://doi.org/10.31713/MCIT.2019.28

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.