A generalisation of the interval Newton single-step method for nonlinear systems of equations
β Scribed by Siegfried Thiel
- Publisher
- Springer Vienna
- Year
- 1989
- Tongue
- English
- Weight
- 533 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0010-485X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Building on the method of Kantorovich majorants, we give convergence results and error estimates for the two-step Newton method for the approximate solution of a nonlinear operator equation.
The present method has several steps. The first step starts for each unknown with a random value in the interval for the unknown. The second step starts at a point near the best point obtained in step one; specifically, for each unknown variable, the second step starts with a value which is, say, th
## For the solution of nonlinear equations, we present an adaptive wavelet scheme, which couples an inexs& Newton method and the idea of nonlinear wavelet approximation. In particular, we obtain a result of quadrAtic convergence.