Some new iterative methods with three-order convergence

DOI10.1016/j.amc.2006.02.037zbMath1105.65055OpenAlexW1999221510MaRDI QIDQ856155

Jinhai Chen

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.2006.02.037

zbMATH Keywords

Newton's methodnumerical experimentsorder of convergenceSteffensen methoditerative formulae

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (13)

A note on some new iterative methods with third-order convergence ⋮ Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions ⋮ Ball convergence theorems for eighth-order variants of Newton's method under weak conditions ⋮ Ball comparison between two optimal eight-order methods under weak conditions ⋮ Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ A third-order convergent iterative method for solving non-linear equations ⋮ On an iterative method for\cr unconstrained optimization ⋮ A note on ``Some higher-order modifications of Newton's method for solving nonlinear equations ⋮ A sixth order method for nonlinear equations ⋮ Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications ⋮ Local results for an iterative method of convergence order six and efficiency index 1.8171 ⋮ Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions

Cites Work

• On a class of quadratically convergent iteration formulae
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