A simply constructed third-order modification of Newton's method
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Publication:935768
DOI10.1016/j.cam.2007.07.004zbMath1156.65043OpenAlexW1997173841MaRDI QIDQ935768
Publication date: 8 August 2008
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.2007.07.004
Numerical computation of solutions to single equations (65H05) Acceleration of convergence in numerical analysis (65B99)
Related Items (6)
An efficient and straightforward numerical technique coupled to classical Newton's method for enhancing the accuracy of approximate solutions associated with scalar nonlinear equations ⋮ An easy method to accelerate an iterative algebraic equation solver ⋮ An efficient iterative scheme using family of Chebyshev's operations ⋮ Some fourth-order modifications of Newton's method ⋮ On some computational orders of convergence ⋮ A new fifth-order iterative method free from second derivative for solving nonlinear equations
Cites Work
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- Iterative methods improving Newton's method by the decomposition method
- Construction of Newton-like iteration methods for solving nonlinear equations
- A modification of Newton method with third-order convergence
- Improving the order of convergence of iteration functions
- Some variant of Newton's method with third-order convergence.
- Second-derivative-free variant of the Chebyshev method for nonlinear equations
- On Newton-type methods with cubic convergence
- Some third-order families of iterative methods for solving nonlinear equations
- Third-order modification of Newton's method
- A composite third order Newton-Steffensen method for solving nonlinear equations
- A family of Chebyshev-Halley type methods in Banach spaces
- An acceleration of Newton's method: Super-Halley method
- A variant of Newton's method with accelerated third-order convergence
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