On a two-parameter Chebyshev-Halley-like family of optimal two-point fourth order methods free from second derivatives

DOI10.1007/s13370-014-0237-zzbMath1321.65081OpenAlexW2008674333MaRDI QIDQ496999

Diyashvir Kreetee Rajiv Babajee

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0237-z

zbMATH Keywords

optimal methodsmultipoint methodsChebyshev-Halley methodsfourth-order methodsTraub-Kung conjecture

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical computation of solutions to single equations (65H05) Rate of convergence, degree of approximation (41A25)

Related Items (8)

High order quadrature based iterative method for approximating the solution of nonlinear equations ⋮ A family of higher order multi-point iterative methods based on power mean for solving nonlinear equations ⋮ Some improvements to a third order variant of Newton's method from Simpson's rule ⋮ On some improved harmonic mean Newton-like methods for solving systems of nonlinear equations ⋮ On the Kung-Traub conjecture for iterative methods for solving quadratic equations ⋮ New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations ⋮ A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics ⋮ New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis

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