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A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously.
- Source :
-
Journal of Complexity . Jun2014, Vol. 30 Issue 3, p366-380. 15p. - Publication Year :
- 2014
-
Abstract
- Abstract: In this paper we study the convergence of the famous Weierstrass method for simultaneous approximation of polynomial zeros over a complete normed field. We present a new semilocal convergence theorem for the Weierstrass method under a new type of initial conditions. Our result is obtained by combining ideas of Weierstrass (1891) and Proinov (2010). A priori and a posteriori error estimates are also provided under the new initial conditions. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0885064X
- Volume :
- 30
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Complexity
- Publication Type :
- Academic Journal
- Accession number :
- 95316624
- Full Text :
- https://doi.org/10.1016/j.jco.2013.11.002