A simple yet efficient derivative free family of seventh order methods for systems of nonlinear equations

DOI10.1007/s40324-015-0055-8zbMath1342.65132OpenAlexW2256094687MaRDI QIDQ258871

Janak Raj Sharma, Himani Arora

Publication date: 10 March 2016

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-015-0055-8

zbMATH Keywords

iterative methodsnonlinear equationscomputational efficiencyorder of convergencederivative-free methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

Optimal choice of parameters in higher-order derivative-free iterative methods for systems of nonlinear equations ⋮ A class of accurate Newton-Jarratt-like methods with applications to nonlinear models

Uses Software

• Mathematica
• MPFR

Cites Work

• An efficient derivative free family of fourth order methods for solving systems of nonlinear equations
• A technique to choose the most efficient method between secant method and some variants
• A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations
• Frozen divided difference scheme for solving systems of nonlinear equations
• A family of Steffensen type methods with seventh-order convergence
• Accelerated iterative methods for finding solutions of a system of nonlinear equations
• MPFR
• Solving Nonlinear Equations with Newton's Method
• A note on \(Q\)-order of convergence
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