Modified Halley's method free from second derivative

DOI10.1016/j.amc.2006.05.097zbMath1109.65047OpenAlexW2072379969MaRDI QIDQ864830

Yitian Li, Xiuhua Wang, Jisheng Kou

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.097

zbMATH Keywords

Newton's methodnumerical examplesiterative methodnonlinear equationsroot-finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Some third-order families of iterative methods for solving nonlinear equations ⋮ Second-derivative-free variants of Cauchy's method ⋮ Newton-Kantorovich convergence theorem of a new modified Halley's method family in a Banach space ⋮ Modified Chebyshev's method free from second derivative for non-linear equations ⋮ A multidimensional generalization of some classes of iterative methods ⋮ Derivative free algorithm for solving nonlinear equations ⋮ Modified families of multi-point iterative methods for solving nonlinear equations ⋮ Newton-Kantorovich theorem for a family of modified Halley's method under Hölder continuity conditions in Banach space ⋮ On Popovski's method for nonlinear equations ⋮ Constructing third-order derivative-free iterative methods ⋮ On some cubic convergence iterative formulae without derivatives for solving nonlinear equations ⋮ Some variants of Chebyshev-halley methods free from second derivative ⋮ Some second-derivative-free variants of Chebyshev-halley methods ⋮ Third and fourth order iterative methods free from second derivative for nonlinear systems ⋮ Some second-derivative-free variants of Halley's method for multiple roots ⋮ A new fifth-order iterative method free from second derivative for solving nonlinear equations ⋮ Convergence theorem for a family of new modified Halley's method in Banach space

Cites Work

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