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On using symmetric polynomials for constructing root finding methods.
- Source :
- Mathematics of Computation; Sep2020, Vol. 89 Issue 325, p2321-2331, 11p
- Publication Year :
- 2020
-
Abstract
- We propose an approach to constructing iterative methods for finding polynomial roots simultaneously. One feature of this approach is using the fundamental theorem of symmetric polynomials. Within this framework, we reconstruct many of the existing root finding methods. The new results presented in this paper are some modifications of the Durand-Kerner method. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYNOMIALS
MODIFICATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00255718
- Volume :
- 89
- Issue :
- 325
- Database :
- Complementary Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Academic Journal
- Accession number :
- 143726458
- Full Text :
- https://doi.org/10.1090/mcom/3531