Regarding the accuracy of optimal eighth-order methods

DOI10.1016/j.mcm.2010.12.032zbMath1217.65089OpenAlexW2056333052MaRDI QIDQ552166

Fazlollah Soleymani

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.12.032

zbMATH Keywords

accuracyorder of convergencerootefficiency indexconvergence radiusoptimal eighth-order methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

On developing a higher-order family of double-Newton methods with a bivariate weighting function ⋮ An optimized derivative-free form of the Potra-Pták method ⋮ A class of three-step derivative-free root solvers with optimal convergence order ⋮ An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs ⋮ On a new method for computing the numerical solution of systems of nonlinear equations ⋮ A new sixth-order scheme for nonlinear equations ⋮ An optimal family of fast 16th-order derivative-free multipoint simple-root finders for nonlinear equations

Uses Software

• Mathematica

Cites Work

• A family of iterative methods with sixth and seventh order convergence for nonlinear equations
• Eighth-order methods with high efficiency index for solving nonlinear equations
• A family of three-point methods of optimal order for solving nonlinear equations
• A variant of Chebyshev's method with sixth-order convergence
• High order iterative schemes for quadratic equations
• From third to fourth order variant of Newton's method for simple roots
• New eighth-order iterative methods for solving nonlinear equations
• On Newton-type methods for multiple roots with cubic convergence
• A new family of eighth-order iterative methods for solving nonlinear equations
• Optimal Order of One-Point and Multipoint Iteration
• Some efficient fourth order multipoint methods for solving equations
• A new family of modified Ostrowski's methods with accelerated eighth order convergence
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Regarding the accuracy of optimal eighth-order methods