Steffensen type methods for solving nonlinear equations
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Publication:415242
DOI10.1016/j.cam.2010.08.043zbMath1237.65049OpenAlexW2285146761MaRDI QIDQ415242
José L. Hueso, Eulalia Martínez, Alicia Cordero, Juan Ramón Torregrosa Sánchez
Publication date: 11 May 2012
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.2010.08.043
Related Items (21)
On a Moser-Steffensen type method for nonlinear systems of equations ⋮ A splitting method to solve a single nonlinear equation with derivative-free iterative schemes ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ Solving nonsmooth equations using family of derivative-free optimal methods ⋮ Some optimal iterative methods and their with memory variants ⋮ Various Newton-type iterative methods for solving nonlinear equations ⋮ Unnamed Item ⋮ Nonlinear process monitoring based on generic reconstruction-based auto-associative neural network ⋮ Eighth-order iterative methods without derivatives for solving nonlinear equations ⋮ A family of Steffensen type methods with seventh-order convergence ⋮ EFFICIENT NUMERICAL METHODS OF AITKEN TYPE AND THEIR DYNAMICS ⋮ Construction of optimal derivative-free techniques without memory ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability ⋮ A Steffensen type method of two steps in Banach spaces with applications ⋮ On some iterative methods with memory and high efficiency index for solving nonlinear equations ⋮ A family of high order derivative-free iterative methods for solving root-finding problems ⋮ Fourth-Order Derivative-Free Optimal Families of King’s and Ostrowski’s Methods ⋮ Some variants of Halley's method with memory and their applications for solving several chemical problems ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory ⋮ Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions
Cites Work
- High order iterative methods without derivatives for solving nonlinear equations
- Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
- Some second-derivative-free variants of Chebyshev-halley methods
- Steffensen type methods for solving non-linear equations
- Modified Chebyshev-Halley methods free from second derivative
- Variants of Newton's method using fifth-order quadrature formulas
- A Steffensen-like method and its higher-order variants
- Some second-derivative-free variants of super-Halley method with fourth-order convergence
- A Steffensen's type method in Banach spaces with applications on boundary-value problems
- An improvement to Ostrowski root-finding method
- On a Steffensen's type method and its behavior for semismooth equations
- A variant of Newton's method with accelerated third-order convergence
- A modified Newton-Jarratt's composition
- Unnamed Item
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