A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\)
From MaRDI portal
Publication:1675999
DOI10.1016/j.cam.2017.07.005zbMath1376.65081OpenAlexW2734569215MaRDI QIDQ1675999
Prashanth Maroju, Ramandeep Behl, Abhimanyu Kumar, Dharmendra Kumar Gupta, Sandile Sydney Motsa
Publication date: 3 November 2017
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.2017.07.005
numerical exampleasymptotic errornonlinear equationsorder of convergenceKung-Traub conjecturelocal convergence analysisdynamical studyiterations free from second derivative
Related Items
Mathematical modeling and computational methods, Study of dynamical behavior and stability of iterative methods for nonlinear equation with applications in engineering, Numerical algorithms for finding zeros of nonlinear equations and their dynamical aspects, Some novel sixth-order iteration schemes for computing zeros of nonlinear scalar equations and their applications in engineering, Efficacy of optimal methods for nonlinear equations with chemical engineering applications, Local convergence of parameter based method with six and eighth order of convergence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Different anomalies in a Jarratt family of iterative root-finding methods
- A new tool to study real dynamics: the convergence plane
- On the convergence of an optimal fourth-order family of methods and its dynamics
- A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approach
- On the convergence of a higher order family of methods and its dynamics
- On the election of the damped parameter of a two-step relaxed Newton-type method
- Local convergence of a family of iterative methods for Hammerstein equations
- Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
- The ``Gauss-Seidelization of iterative methods for solving nonlinear equations in the complex plane
- Stability study of eighth-order iterative methods for solving nonlinear equations
- Study of iterative methods through the Cayley quadratic test
- Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions
- On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- A biparametric extension of King's fourth-order methods and their dynamics
- Stability analysis of a parametric family of iterative methods for solving nonlinear models
- A continuation method for solving non-linear equations in \(\mathbb{R}\)
- A new fourth-order family for solving nonlinear problems and its dynamics
- Local convergence for multipoint methods using only the first derivative
- Some variants of Ostrowski's method with seventh-order convergence
- An improvement to Ostrowski root-finding method
- Local Convergence and the Dynamics of a Two-Step Newton-Like Method
- The solution of Kepler's equation, I
- Optimal Order of One-Point and Multipoint Iteration
- A Family of Fourth Order Methods for Nonlinear Equations
- Dynamics in One Complex Variable. (AM-160)
- A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
