ON THE R-ORDER CONVERGENCE OF A THIRD ORDER METHOD IN BANACH SPACES UNDER MILD DIFFERENTIABILITY CONDITIONS
From MaRDI portal
Publication:4924255
DOI10.1142/S0219876209001838zbMath1264.65083OpenAlexW2150433094MaRDI QIDQ4924255
No author found.
Publication date: 31 May 2013
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876209001838
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recurrence relations for the super-Halley method
- Reduced recurrence relations for the Chebyshev method
- Avoiding the computation of the second Fréchet-derivative in the convex acceleration of Newton's method
- Some variant of Newton's method with third-order convergence.
- Third-order methods from quadrature formulae for solving systems of nonlinear equations.
- Second-derivative-free variant of the Chebyshev method for nonlinear equations
- On the \(R\)-order of the Halley method
- Recurrence relations for a Newton-like method in Banach spaces
- Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space
- Convergence of the family of the deformed Euler--Halley iterations under the Hölder condition of the second derivative
- On a new multiparametric family of Newton-like methods
- Numerical Solvability of Hammerstein Integral Equations of Mixed Type
- Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
- A variant of Newton's method with accelerated third-order convergence
- Chebyshev's approximation algorithms and applications
This page was built for publication: ON THE R-ORDER CONVERGENCE OF A THIRD ORDER METHOD IN BANACH SPACES UNDER MILD DIFFERENTIABILITY CONDITIONS
