Exponentially fitted variants of Newton's method with quadratic and cubic convergence

DOI10.1080/00207160801950596zbMath1178.65044OpenAlexW2167817469MaRDI QIDQ3396421

Vinay Kanwar, Sushil Kumar Tomar

Publication date: 18 September 2009

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

Full work available at URL: https://doi.org/10.1080/00207160801950596

zbMATH Keywords

convergenceNewton's methodHalley's methodChebyshev's methodmultipoint iterative methodsEuler's methodsystem of non-linear equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

Related Items (1)

New highly efficient families of higher-order methods for simple roots, permitting \(f'(x_n)=0\)

Cites Work

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• Some modifications of Newton's method with fifth-order convergence
• A family of Chebyshev-Halley type methods in Banach spaces
• Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
• On the Geometry of Halley's Method
• A variant of Newton's method with accelerated third-order convergence

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