A new accelerating technique applied to a variant of Cordero-Torregrosa method

DOI10.1016/j.cam.2017.07.003zbMath1376.65082OpenAlexW2739057229MaRDI QIDQ1676000

Xiaofeng Wang

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.07.003

zbMATH Keywords

numerical experimentsnonlinear equationsdynamical behaviorroot-findingiterative method with memoryCordero-Torregrosa methodself-accelerating parameter

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (5)

On the optimal choice of parameters in two-point iterative methods for solving nonlinear equations ⋮ Mathematical modeling and computational methods ⋮ An efficient family of two-step with-memory methods with convergence order 6 and their dynamics ⋮ Unnamed Item ⋮ A general class of one-parametric with memory method for solving nonlinear equations

Cites Work

• The basins of attraction of Murakami's fifth order family of methods
• Three-point methods with and without memory for solving nonlinear equations
• Derivative free two-point methods with and without memory for solving nonlinear equations
• New three- and four-parametric iterative with memory methods with efficiency index near 2
• Efficient \(n\)-point iterative methods with memory for solving nonlinear equations
• Variants of Steffensen-Secant method and applications
• Several iterative methods with memory using self-accelerators
• A family of Newton type iterative methods for solving nonlinear equations
• A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
• An efficient two-parametric family with memory for nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• On efficient two-parameter methods for solving nonlinear equations
• Some efficient derivative free methods with memory for solving nonlinear equations
• A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations
• Dynamics of a family of Chebyshev-Halley type methods
• SOME NEWTON-TYPE ITERATIVE METHODS WITH AND WITHOUT MEMORY FOR SOLVING NONLINEAR EQUATIONS
• Optimal Order of One-Point and Multipoint Iteration
• Efficient two-step derivative-free iterative methods with memory and their dynamics
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