Modifications of higher-order convergence for solving nonlinear equations

DOI10.1016/j.cam.2011.04.039zbMath1221.65116OpenAlexW2168055322MaRDI QIDQ633964

Xi-Lan Liu, Xiao-Rui Wang

Publication date: 2 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.039

zbMATH Keywords

nonlinear equationNewton methodhigher-order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Rate of convergence, degree of approximation (41A25) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (1)

Improved Chebyshev-Halley methods with sixth and eighth order convergence

Cites Work

• Modified iterative methods with cubic convergence for solving nonlinear equations
• A family of fifth-order iterations composed of Newton and third-order methods
• A cubically convergent Newton-type method under weak conditions
• Some higher-order modifications of Newton's method for solving nonlinear equations
• Some modifications of Newton's method with higher-order convergence for solving nonlinear equations
• Two new families of sixth-order methods for solving nonlinear equations
• Some third-order families of iterative methods for solving nonlinear equations
• A variant of Jarratt method with sixth-order convergence
• Some modification of Newton's method by the method of undetermined coefficients
• Some second-derivative-free variants of super-Halley method with fourth-order convergence
• Some variants of Ostrowski's method with seventh-order convergence

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