Two new families of sixth-order methods for solving nonlinear equations

DOI10.1016/j.amc.2009.03.007zbMath1170.65032OpenAlexW2043545410MaRDI QIDQ1030218

J. Blot

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.007

zbMATH Keywords

nonlinear equationorder of convergenceroot-findingNewton's method modification

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

• Some sixth-order variants of Ostrowski root-finding methods
• Two new families of sixth-order methods for solving nonlinear equations
• The Jarratt method in Banach space setting
• Some new variants of Newton's method.
• The improvements of Chebyshev-Halley methods with fifth-order convergence
• Third-order modification of Newton's method
• A variant of Jarratt method with sixth-order convergence
• Construction of third-order modifications of Newton's method
• An improvement of the Jarratt method
• Some modification of Newton's method by the method of undetermined coefficients
• Introduction to a Newton-type method for solving nonlinear equations
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