On some iterative method for solving nonlinear equations

Автор(и)

  • 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

Ключові слова:

Newton method; nonlinear system; nondifferentiability; secant method;

Анотація

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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Опубліковано

2019-11-05

Як цитувати

Kovalchuk, O., Bartish, M., & Ogorodnyk, N. (2019). On some iterative method for solving nonlinear equations. Моделювання, керування та інформаційні технології, (3), 7–8. https://doi.org/10.31713/MCIT.2019.28

Номер

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Розділ

Mathematical modelling and computational methods