An efficient derivative free family of fourth order methods for solving systems of nonlinear equations

DOI10.1016/j.amc.2014.02.103zbMath1334.65089OpenAlexW1978294589MaRDI QIDQ272459

Himani Arora, Miodrag S. Petković, Janak Raj Sharma

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.103

zbMATH Keywords

systems of nonlinear equationscomputational efficiencyorder of convergencederivative-free methodsTraub-Steffensen method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (14)

Derivative free iterative methods for nonlinear systems ⋮ A family of iterative methods that uses divided differences of first and second orders ⋮ Optimal choice of parameters in higher-order derivative-free iterative methods for systems of nonlinear equations ⋮ An efficient family of two-step with-memory methods with convergence order 6 and their dynamics ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Extended ball convergence of a seventh order derivative free method for solving system of equations with applications ⋮ General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations ⋮ Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure ⋮ Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations ⋮ A class of third order iterative Kurchatov-Steffensen (derivative free) methods for solving nonlinear equations ⋮ On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations ⋮ Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations ⋮ Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations ⋮ A simple yet efficient derivative free family of seventh order methods for systems of nonlinear equations

Uses Software

• Mathematica
• MPFR

Cites Work

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• MPFR
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