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.

References

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Published

2019-11-05

Issue

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

Section

Mathematical, computer modeling and computational methods

How to Cite

On some iterative method for solving nonlinear equations. (2019). MCIT: Proceedings of International Scientific and Practical Conference, 3, 7-8. https://doi.org/10.31713/MCIT.2019.28