On Newton's midpoint-type iterative Scheme's convergence
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Publication:2101342
DOI10.1007/s40819-022-01468-1zbMath1503.65117OpenAlexW4297983327MaRDI QIDQ2101342
Publication date: 5 December 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01468-1
Fréchet derivativecomputational efficiencyorder of convergencebasin of attractionsNewton's midpoint method
Cites Work
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- An efficient fifth order method for solving systems of nonlinear equations
- Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system
- Multipoint methods for solving nonlinear equations: a survey
- On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
- A novel family of composite Newton-Traub methods for solving systems of nonlinear equations
- Increasing the convergence order of an iterative method for nonlinear systems
- On the local convergence of a fifth-order iterative method in Banach spaces
- An efficient Newton-type method with fifth-order convergence for solving nonlinear equations
- Some variant of Newton's method with third-order convergence.
- Third-order methods from quadrature formulae for solving systems of nonlinear equations.
- Some new variants of Newton's method.
- On the complexity of extending the convergence region for Traub's method
- Variants of Newton's method using fifth-order quadrature formulas
- Convergence and Applications of Newton-type Iterations
- A family of Chebyshev-Halley type methods in Banach spaces
- A note on the convergence of Halley's method for solving operator equations
- Ball convergence of a novel Newton-Traub composition for solving equations
- A variant of Newton's method with accelerated third-order convergence
- A modified Newton-Jarratt's composition