Some iterative methods free from derivatives and their basins of attraction for nonlinear equations

DOI10.1155/2013/301718zbMath1264.65076OpenAlexW2077524814WikidataQ58921489 ScholiaQ58921489MaRDI QIDQ1956027

Fazlollah Soleymani, Farahnaz Soleimani, Stanford Shateyi

Publication date: 13 June 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/301718

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Derivative free iterative methods with memory having higher R-order of convergence ⋮ Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? ⋮ Some new bi-accelerator two-point methods for solving nonlinear equations ⋮ EFFICIENT NUMERICAL METHODS OF AITKEN TYPE AND THEIR DYNAMICS ⋮ A new optimal eighth-order Ostrowski-type family of iterative methods for solving nonlinear equations ⋮ A matrix iteration for finding Drazin inverse with ninth-order convergence ⋮ Higher-order root-finding algorithms and their basins of attraction ⋮ On some iterative methods with memory and high efficiency index for solving nonlinear equations ⋮ Some matrix iterations for computing matrix sign function

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• A family of derivative-free methods with high order of convergence and its application to nonsmooth equations
• Optimized Steffensen-type methods with eighth-order convergence and high efficiency index
• Two optimal eighth-order derivative-free classes of iterative methods
• Graphic and numerical comparison between iterative methods
• Dynamics of a new family of iterative processes for quadratic polynomials
• Steffensen type methods for solving non-linear equations
• Complex dynamics of derivative-free methods for nonlinear equations
• Fractal Newton basins
• A three point formula for finding roots of equations by the method of least squares
• Multiple zeros of nonlinear systems
• Mathematica in Action
• Optimal Order of One-Point and Multipoint Iteration
• Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods
• The Mathematica GuideBook for Numerics

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