The Durand-Kerner polynomials roots-finding method in case of multiple roots
โ Scribed by Pierre Fraigniaud
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 494 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Conventional numerical methods for finding multiple roots of polynomials are inaccurate. The accuracy is unsatisfactory because the derivatives of the polynomial in the intermediate steps of the associated root-finding procedures are eliminated. Engineering applications require that this problem be
For an equation f (x) = 0 having a multiple root of multiplicity m > 1 unknown, we propose a transformation which converts the multiple root to a simple root of H (x) = 0. The transformed function H (x) of f (x) with a small > 0 has appropriate properties in applying a derivative free iterative meth