A family of Newton-like methods based on an exponential model

DOI10.1080/00207160601117339zbMath1116.65059OpenAlexW2005152329MaRDI QIDQ3446592

Janak Raj Sharma

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1080/00207160601117339

zbMATH Keywords

convergencecomparison of methodsNewton's methodnumerical exampleserror analysisfittingiteration methodsfunction approximationnon-linear equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

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• Geometric constructions of iterative functions to solve nonlinear equations
• A modified Newton method for rootfinding with cubic convergence.
• Practical quasi-Newton methods for solving nonlinear systems
• A composite third order Newton-Steffensen method for solving nonlinear equations
• A family of newton type iterative processes
• An acceleration of Newton's method: Super-Halley method

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