Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625822 | Applied Mathematics and Computation | 2016 | 13 Pages |
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
Authors
Petko D. Proinov,