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- W2950849692 abstract "In this paper, we establish a general semilocal convergence theorem (with computationally verifiable initial conditions and error estimates) for iterative methods for simultaneous approximation of polynomial zeros. As application of this theorem, we provide new semilocal convergence results for Ehrlich's and Dochev-Byrnev's root-finding methods. These results improve the results of Petkovic, Herceg and Ilic [Numer. Algorithms 17 (1998) 313--331] and Proinov [C.~R. Acad. Bulg. Sci. 59 (2006) 705--712]. We also prove that Dochev-Byrnev's method (1964) is identical to Pre{v s}ic-Tanabe's method (1972)." @default.
- W2950849692 created "2019-06-27" @default.
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- W2950849692 date "2015-11-12" @default.
- W2950849692 modified "2023-09-27" @default.
- W2950849692 title "A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods" @default.
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