Article ID Journal Published Year Pages File Type
4625822 Applied Mathematics and Computation 2016 13 Pages PDF
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 Petković et al. (1998) and Proinov (2006). We also prove that Dochev–Byrnev’s method (1964) is identical to Prešić–Tanabe’s method (1972).

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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