On a family of second-derivative-free variants of Chebyshev's method

DOI10.1016/j.amc.2006.01.075zbMath1172.65020OpenAlexW2114755158MaRDI QIDQ856075

Yitian Li, Xiuhua Wang, Jisheng Kou

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.075

zbMATH Keywords

Newton's methodnumerical examplesiterative methodnonlinear equationsthird-order convergenceroot-findingChebyshev's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

Modified Chebyshev-Halley methods free from second derivative ⋮ An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior ⋮ Constructing third-order derivative-free iterative methods ⋮ A new method of secant-like for nonlinear equations ⋮ Fourth-order variants of Cauchy's method for solving non-linear equations ⋮ Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method

Cites Work

• On Halley-type iterations with free second derivative
• A note on the Halley method in Banach spaces
• Geometric constructions of iterative functions to solve nonlinear equations
• Some variant of Newton's method with third-order convergence.
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• On a class of quadratic convergence iteration formulae without derivatives
• A new continuation Newton-like method and its deformation
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• On modified Newton methods with cubic convergence
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