A novel family of weighted-Newton optimal eighth order methods with dynamics
From MaRDI portal
Publication:725379
DOI10.1007/s40324-017-0129-xzbMath1405.65071OpenAlexW2624261001MaRDI QIDQ725379
Janak Raj Sharma, Nitin Kalra, Rajni Sharma
Publication date: 1 August 2018
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-017-0129-x
nonlinear equationscomputational efficiencybasins of attractionKung-Traub conjectureeighth-order convergenceweight function technique
Related Items (2)
Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations ⋮ Efficient Ostrowski-like methods of optimal eighth and sixteenth order convergence and their dynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analysis of a new family of eighth-order optimal methods
- Basin attractors for various methods
- Basin attractors for various methods for multiple roots
- A new family of optimal eighth order methods with dynamics for nonlinear equations
- Comparison of several families of optimal eighth order methods
- Graphic and numerical comparison between iterative methods
- Some eighth-order root-finding three-step methods
- Eighth-order methods with high efficiency index for solving nonlinear equations
- A family of three-point methods of optimal order for solving nonlinear equations
- Modified Ostrowski's method with eighth-order convergence and high efficiency index
- Some sixth-order variants of Ostrowski root-finding methods
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- A fourth order iterative method for solving nonlinear equations
- Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
- A new class of three-point methods with optimal convergence order eight and its dynamics
- An efficient family of weighted-Newton methods with optimal eighth order convergence
- A variant of Jarratt method with sixth-order convergence
- A family of modified Ostrowski methods with accelerated sixth order convergence
- A new family of eighth-order iterative methods for solving nonlinear equations
- Three-step iterative methods with optimal eighth-order convergence
- Some fourth-order iterative methods for solving nonlinear equations
- Some second-derivative-free variants of super-Halley method with fourth-order convergence
- Some variants of Ostrowski's method with seventh-order convergence
- Low discrepancy sequences in high dimensions: how well are their projections distributed?
- New family of seventh-order methods for nonlinear equations
- Two weighted eight-order classes of iterative root-finding methods
- Optimal Order of One-Point and Multipoint Iteration
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
- A variant of Newton's method with accelerated third-order convergence
- A new family of modified Ostrowski's methods with accelerated eighth order convergence
This page was built for publication: A novel family of weighted-Newton optimal eighth order methods with dynamics