Optimal Steffensen-type methods with eighth order of convergence
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Publication:2429115
DOI10.1016/j.camwa.2011.10.047zbMath1236.65056OpenAlexW2069375119MaRDI QIDQ2429115
Fazlollah Soleymani, Solat Karimi Vanani
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.047
Related Items (27)
Several iterative methods with memory using self-accelerators ⋮ Design and Analysis of a New Class of Derivative-Free Optimal Order Methods for Nonlinear Equations ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ Some optimal iterative methods and their with memory variants ⋮ An optimized derivative-free form of the Potra-Pták method ⋮ Two general higher-order derivative free iterative techniques having optimal convergence order ⋮ A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations ⋮ A class of three-step derivative-free root solvers with optimal convergence order ⋮ Two new classes of optimal Jarratt-type fourth-order methods ⋮ Some new weighted eighth-order variants of Steffensen-King's type family for solving nonlinear equations and its dynamics ⋮ A new class of derivative-free root solvers with increasing optimal convergence order and their complex dynamics ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ Construction of optimal derivative-free techniques without memory ⋮ Finding the solution of nonlinear equations by a class of optimal methods ⋮ Optimized Steffensen-type methods with eighth-order convergence and high efficiency index ⋮ Numerical solution of nonlinear equations by an optimal eighth-order class of iterative methods ⋮ Two novel classes of two-step optimal methods for all the zeros in an interval ⋮ Some novel optimal eighth order derivative-free root solvers and their basins of attraction ⋮ On a robust Aitken-Newton method based on the Hermite polynomial ⋮ An optimal eighth-order derivative-free family of Potra-Pták's method ⋮ A Steffensen type method of two steps in Banach spaces with applications ⋮ A family of high order derivative-free iterative methods for solving root-finding problems ⋮ Two optimal eighth-order derivative-free classes of iterative methods ⋮ Efficient \(n\)-point iterative methods with memory for solving nonlinear equations ⋮ A general class of optimal eighth-order derivative free methods for nonlinear equations ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations
Cites Work
- A general three-step class of optimal iterations for nonlinear equations
- An optimal Steffensen-type family for solving nonlinear equations
- Accurate fourteenth-order methods for solving nonlinear equations
- New eighth-order iterative methods for solving nonlinear equations
- A non-iterative method for solving non-linear equations
- Optimal Order of One-Point and Multipoint Iteration
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