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- Title
On the convergence of Halley's method for simultaneous computation of polynomial zeros.
- Authors
Proinov, Petko D.; Ivanov, Stoil I.
- Abstract
In this paper we study the convergence of Halley's method as a method for finding all zeros of a polynomial simultaneously. We present two types of local convergence theorems as well as a semilocal convergence theorem for Halley's method for simultaneous computation of polynomial zeros.
- Subjects
STOCHASTIC convergence; POLYNOMIALS; ZERO (The number); ERROR analysis in mathematics; ESTIMATION theory; MATHEMATICS theorems; MATHEMATICAL analysis
- Publication
Journal of Numerical Mathematics, 2015, Vol 23, Issue 4, p379
- ISSN
1570-2820
- Publication type
Article
- DOI
10.1515/jnma-2015-0026