Journal
NUMERICAL ALGORITHMS
Volume 75, Issue 4, Pages 1193-1204Publisher
SPRINGER
DOI: 10.1007/s11075-016-0237-1
Keywords
Simultaneous methods; Polynomial zeros; Semilocal convergence; Error estimates; Location of zeros; Normed fields
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Funding
- Plovdiv University [NI15-FFIT-005]
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In this paper, we first present a family of iterative algorithms for simultaneous determination of all zeros of a polynomial. This family contains two well-known algorithms: Dochev-Byrnev's method and Ehrlich's method. Second, using Proinov's approach to studying convergence of iterative methods for polynomial zeros, we provide a semilocal convergence theorem that unifies the results of Proinov (Appl. Math. Comput. 284: 102-114, 2016) for Dochev-Byrnev's and Ehrlich's methods.
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