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Derivative free method for the simultaneous inclusion of polynomial zeros

Petković Miodrag S. (Faculty of Electronic Engineering, University of Niš)
Milošević Dušan M. (Faculty of Electronic Engineering, University of Niš)

A combined method for the simultaneous inclusion of complex zeros of a polynomial, composed of two circular arithmetic methods, is presented. This method does not use polynomial derivatives and has the order of convergence equals four. Computationally variable initial conditions that guarantee the convergence are also stated. Two numerical example are included to demonstrate the convergence speed of the presented method.

Keywords: complex zeros, polynomials, circular arithmetic, simultaneous inclusion methods, convergence rate