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- Title
A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub’s method.
- Authors
Veiseh, Hana; Lotfi, Taher; Allahviranloo, Tofigh
- Abstract
We present a local convergence analysis of a two-step and derivative-free Kung-Traub’s method, which is based on a parameter and has fourth order of convergence. Using basins of attraction of the method, dynamical behavior of the scheme is studied and the best choice of the parameter is found in the sense of reliability and stability. Some illustrative examples show that as the parameter gets close to zero, radius of convergence of the method becomes larger.
- Subjects
STOCHASTIC convergence; DERIVATIVES (Mathematics); NONLINEAR operator equations; POLYNOMIALS; NEWTON-Raphson method
- Publication
Computational & Applied Mathematics, 2018, Vol 37, Issue 3, p2428
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-017-0458-5