A family of new iteration methods without employing derivatives is proposed in this paper. We have proved that these new methods are quadratic convergence. Their efficiency is demonstrated by numerical experiments. The numerical experiments show that our algorithms are comparable to well-known metho
Derivative free iterative methods with memory of arbitrary high convergence order
✍ Scribed by Fernández-Torres, Gustavo
- Book ID
- 121594743
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 303 KB
- Volume
- 67
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the convergence and performance of iterative methods with the fourth-order compact discretization schemes for the one-and two-dimensional convection-diffusion equations. For the one-dimensional problem, we investigate the symmetrizability of the coefficient matrix and derive an analytical f
Algebraic and differential equations generally co-build mathematical models. Either lack or intractability of their analytical solution often forces workers to resort to an iterative method and face the likely challenges of slow convergence, non-convergence or even divergence. This manuscript presen