Second-derivative free methods of third and fourth order for solving nonlinear equations

DOI10.1080/00207160903365875zbMath1215.65096OpenAlexW2088581617MaRDI QIDQ5391473

Janak Raj Sharma, Rangan Kumar Guha

Publication date: 6 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903365875

zbMATH Keywords

convergenceNewton's methodnumerical examplesiterative methodsnonlinear equationsHansen-Patrick family

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

A new optimal method of order four of Hermite-Steffensen type ⋮ Iterative methods for solving nonlinear equations with finitely many roots in an interval ⋮ An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs ⋮ Two bi-accelerator improved with memory schemes for solving nonlinear equations ⋮ Construction of fourth-order optimal families of iterative methods and their dynamics ⋮ Optimal equi-scaled families of Jarratt's method

Cites Work

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• A family of root finding methods
• A note on the Halley method in Banach spaces
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• Geometric constructions of iterative functions to solve nonlinear equations
• A method for obtaining iterative formulas of order three
• Geometric mean Newton's method for simple and multiple roots
• Computational Complexity of Iterative Processes
• An acceleration of Newton's method: Super-Halley method
• A variant of Newton's method with accelerated third-order convergence

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