Several new third-order iterative methods for solving nonlinear equations
From MaRDI portal
Publication:973800
DOI10.1007/S10440-008-9359-3zbMath1195.41015OpenAlexW2044619111MaRDI QIDQ973800
Publication date: 26 May 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9359-3
Rate of convergence, degree of approximation (41A25) Numerical approximation and computational geometry (primarily algorithms) (65D99)
Related Items (10)
Several new third-order and fourth-order iterative methods for solving nonlinear equations ⋮ On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation ⋮ New seventh and eighth order derivative free methods for solving nonlinear equations ⋮ An efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equations ⋮ One-point Newton-type iterative methods: a unified point of view ⋮ Higher order methods for nonlinear equations and their basins of attraction ⋮ Application of third-order schemes to improve the convergence of the Hardy Cross method in pipe network analysis ⋮ Two optimal general classes of iterative methods with eighth-order ⋮ Note on a cubically convergent Newton-type method under weak conditions ⋮ Some class of third- and fourth-order iterative methods for solving nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Graphic and numerical comparison between iterative methods
- On the solution of algebraic equations by the decomposition method
- Iterative methods improving Newton's method by the decomposition method
- A new family of secant-like methods with superlinear convergence
- Construction of Newton-like iteration methods for solving nonlinear equations
- A modification of Newton method with third-order convergence
- A family of third-order methods to solve nonlinear equations by quadratic curves approximation
- Some higher-order modifications of Newton's method for solving nonlinear equations
- Some variants of Chebyshev-halley methods free from second derivative
- Modified families of Newton, Halley and Chebyshev methods
- Selection of good algorithms from a family of algorithms for polynomial derivative evaluation
- Newton-like iteration method for solving algebraic equations
- Solving frontier problems of physics: the decomposition method
- Some variant of Newton's method with third-order convergence.
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- Study on gas kinetic unified algorithm for flows from rarefied transition to continuum.
- Historical developments in convergence analysis for Newton's and Newton-like methods
- On Newton-type methods with cubic convergence
- A variant of Cauchy's method with accelerated fifth-order convergence.
- Solution of nonlinear equations by modified Adomian decomposition method
- Efficient iterative methods applied to the solution of transonic flows
- Homotopy perturbation technique
- Newton-homotopy analysis method for nonlinear equations
- Some variants of Ostrowski's method with seventh-order convergence
- Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations
- On method of osculating circle 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
This page was built for publication: Several new third-order iterative methods for solving nonlinear equations
