A method for obtaining iterative formulas of order three
From MaRDI portal
Publication:2470341
DOI10.1016/j.aml.2006.11.010zbMath1132.65040OpenAlexW2091741032MaRDI QIDQ2470341
Publication date: 14 February 2008
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2006.11.010
Newton's methodnumerical examplesiterative methodsnonlinear equationsorder of convergenceNewton-type methoditeration function
Related Items (9)
A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity ⋮ Modified homotopy perturbation technique for the approximate solution of nonlinear equations ⋮ Second-derivative free methods of third and fourth order for solving nonlinear equations ⋮ Third order derivative free SPH iterative method for solving nonlinear systems ⋮ Introduction to a Newton-type method for solving nonlinear equations ⋮ The convergence of a class of parallel Newton-type iterative methods ⋮ On some computational orders of convergence ⋮ Interval methods with fifth order of convergence for solving nonlinear scalar equations ⋮ A new family of generalized quadrature methods for solving nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Iterative methods improving Newton's method by the decomposition method
- Construction of Newton-like iteration methods for solving nonlinear equations
- A modification of Newton method with third-order convergence
- Newton-like iteration method for solving algebraic equations
- Some variant of Newton's method with third-order convergence.
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- A new continuation Newton-like method and its deformation
- On Newton-type methods with cubic convergence
- Some new variants of Newton's method.
- Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
- On a class of quadratically convergent iteration formulae
- On Halley's Iteration Method
- On Halley's Variation of Newton's Method
- A variant of Newton's method with accelerated third-order convergence
This page was built for publication: A method for obtaining iterative formulas of order three