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- Title
On a Three-Step Method with the Order of Convergence 1 + $$ \sqrt{2} $$ for the Solution of Systems of Nonlinear Operator Equations.
- Authors
Bartish, M.; Koval'chuk, O.
- Abstract
We propose a three-step modification of a method with an order of convergence 1+ $$ \sqrt{2} $$ aimed at the solution of nonlinear operator equations. We prove that the method is convergent and estimate its error. We also perform the numerical investigation of this modification on test examples, compare the results with the base method, and make conclusions on the basis of these results. The results of verification of the method confirm the theoretical predictions.
- Subjects
NUMERICAL solutions to nonlinear operator equations; STOCHASTIC convergence; NUMERICAL analysis; NONLINEAR operators; ITERATIVE methods (Mathematics)
- Publication
Journal of Mathematical Sciences, 2017, Vol 222, Issue 1, p26
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-017-3279-6