Back to Search
Start Over
A new family of Sakurai–Torii–Sugiura type iterative methods with high order of convergence.
- Source :
-
Journal of Computational & Applied Mathematics . Jan2024, Vol. 436, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we introduce a new family of iterative methods for finding simultaneously all zeros (multiple or simple) of a polynomial. The proposed family is constructed by combining the known Sakurai–Torii–Sugiura iteration function with an arbitrary iteration function. We provide a detailed convergence analysis in the following two directions: local convergence if the polynomial has multiple zeros with known multiplicity and semilocal convergence if the polynomial has only simple zeros. As an application, we study the convergence of several particular iterative methods with high order of convergence. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FAMILIES
*POLYNOMIALS
*MULTIPLICITY (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 436
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 171851051
- Full Text :
- https://doi.org/10.1016/j.cam.2023.115428