On the local convergence of a family of two-step iterative methods for solving nonlinear equations
From MaRDI portal
Publication:2252749
DOI10.1016/j.cam.2013.06.043zbMath1291.65159OpenAlexW1989048457MaRDI QIDQ2252749
Miquel Noguera, José Luis Dıáz-Barrero, Miquel Grau-Sánchez
Publication date: 23 July 2014
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.2013.06.043
Related Items (4)
On a Moser-Steffensen type method for nonlinear systems of equations ⋮ A study of optimization for Steffensen-type methods with frozen divided differences ⋮ A family of higher order derivative free methods for nonlinear systems with local convergence analysis ⋮ Higher-order modification of Steffensen's method for solving system of nonlinear equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysing the efficiency of some modifications of the secant method
- A technique to choose the most efficient method between secant method and some variants
- On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
- Frozen divided difference scheme for solving systems of nonlinear equations
- Third-order iterative methods with applications to Hammerstein equations: a unified approach
- On iterative methods with accelerated convergence for solving systems of nonlinear equations
- On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
- Solving non-differentiable equations by a new one-point iterative method with memory
- Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
- On new computational local orders of convergence
- An improvement of the Euler-Chebyshev iterative method
- A class of quasi-Newton generalized Steffensen methods on Banach spaces
- On the Newton-Kantorovich hypothesis for solving equations
- Secant-like methods for solving nonlinear integral equations of the Hammerstein type
- An optimization of Chebyshev's method
- On the semilocal convergence of efficient Chebyshev-secant-type methods
- A Steffensen's type method in Banach spaces with applications on boundary-value problems
- Efficient Steffensen-type algorithms for solving nonlinear equations
- MPFR
- Some variants of the Chebyshev–Halley family of methods with fifth order of convergence
- CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD
This page was built for publication: On the local convergence of a family of two-step iterative methods for solving nonlinear equations