A family of third-order methods to solve nonlinear equations by quadratic curves approximation
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Publication:879470
DOI10.1016/j.amc.2006.05.193zbMath1114.65050OpenAlexW2130261568MaRDI QIDQ879470
Publication date: 14 May 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.193
Chebyshev methoditerative methodsEuler methodNewton methodnonlinear equationsorder of convergenceroot findingHalley method
Related Items (10)
A one-parameter family of third-order methods to solve nonlinear equations ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ A new class of Halley's method with third-order convergence for solving nonlinear equations ⋮ A class of iterative methods with third-order convergence to solve nonlinear equations ⋮ Simple geometry facilitates iterative solution of a nonlinear equation via a special transformation to accelerate convergence to third order ⋮ Some one-parameter families of third-order methods for solving nonlinear equations ⋮ A hybrid method for computing the intersection and tangency points of plane curves ⋮ Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations ⋮ Several new third-order iterative methods for solving nonlinear equations ⋮ The construction of rational iterative methods for solving nonlinear equations
Cites Work
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- On the global convergence of Halley's iteration formula
- Geometric constructions of iterative functions to solve nonlinear equations
- Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
- On the Geometry of Halley's Method
- An acceleration of Newton's method: Super-Halley method
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