A variant of Chebyshev's method with sixth-order convergence

DOI10.1007/s11075-006-9058-yzbMath1125.65042OpenAlexW2052749413MaRDI QIDQ870766

Jisheng Kou, Yitian Li

Publication date: 15 March 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-006-9058-y

zbMATH Keywords

numerical examplesiterative methodnonlinear equationsroot-findingChebyshev's methodsixth-order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

A family of modified super-Halley methods with fourth-order convergence ⋮ Some new sixth-order methods for solving non-linear equations ⋮ The Fibonacci family of iterative processes for solving nonlinear equations ⋮ On Chebyshev-Halley methods with sixth-order convergence for solving non-linear equations ⋮ Second-derivative-free variants of Cauchy's method ⋮ Sixth-order variants of Chebyshev-Halley methods for solving non-linear equations ⋮ Improvements of the efficiency of some three-step iterative like-Newton methods ⋮ To the question of efficiency of iterative methods ⋮ Some variants of the Chebyshev–Halley family of methods with fifth order of convergence ⋮ On some computational orders of convergence ⋮ Regarding the accuracy of optimal eighth-order methods ⋮ Fourth-order variants of Cauchy's method for solving non-linear equations

Cites Work

• An improvement of the Euler-Chebyshev iterative method
• Geometric constructions of iterative functions to solve nonlinear equations
• An improvement to the computing of nonlinear equation solutions
• A variant of Newton's method with accelerated third-order convergence
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