Analysing the efficiency of some modifications of the secant method
From MaRDI portal
Publication:356106
DOI10.1016/j.camwa.2012.03.105zbMath1268.65073OpenAlexW1978682416MaRDI QIDQ356106
Miguel Ángel Hernández-Verón, José Antonio Ezquerro, Àngela Grau, Miquel Noguera, Miquel Grau-Sánchez
Publication date: 25 July 2013
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2012.03.105
nonlinear equationsorder of convergencedivided differencescomputational efficiency indexsecant methods
Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20)
Related Items (10)
On the efficiency of two variants of Kurchatov's method for solving nonlinear systems ⋮ An efficient sixth-order Newton-type method for solving nonlinear systems ⋮ Note on the efficiency of some iterative methods for solving nonlinear equations ⋮ Seventh-order derivative-free iterative method for solving nonlinear systems ⋮ Chebyshev-secant-type methods for non-differentiable operators ⋮ Two efficient derivative-free iterative methods for solving nonlinear systems ⋮ On the local convergence of a family of two-step iterative methods for solving nonlinear equations ⋮ A Traub type result for one-point iterative methods with memory ⋮ Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations ⋮ On Convergence and Efficiency in the Resolution of Systems of Nonlinear Equations from a Local Analysis
Uses Software
Cites Work
- Frozen divided difference scheme for solving systems of nonlinear equations
- Variants of a classic Traub's result
- On some computational orders of convergence
- Practical quasi-Newton methods for solving nonlinear systems
- MPFR
- Quasi-Newton Methods and their Application to Function Minimisation
- A variant of Newton's method with accelerated third-order convergence
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Analysing the efficiency of some modifications of the secant method
