In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration t
On the efficiency of a modification of newton’s method of solving a system of equations
✍ Scribed by S. N. Perfllov; R. N. Sattarov
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 125 KB
- Volume
- 73
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We provide a semilocal convergence analysis for a certain class of Newton-like methods considered also in [I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space,
step iterative method Order of convergence a b s t r a c t In [YoonMee Ham etal., Some higher-order modifications of Newton's method for solving nonlinear equations, J. Comput. Appl. Math., 222 (2008) 477-486], some higher-order modifications of Newton's method for solving nonlinear equations are c
The Lagrangian globalization (LG) method for non-linear equation-solving proposed in [ 101 is developed through theoretical analysis, the formulation of a particular LG algorithm, and a numerical illustration. New merit functions (termed detour potentials) for non-linear equation-solving, which broa