Abstract
An algorithm is introduced for finding zeros of polynomials with real as well as complex coefficients. Based on the geometrical and functional properties of polynomials, the method can determine accurate distinct and repeated zeros of polynomials. The convergence of Newton's method plays an important role in this method. It has been found that the region of convergence by Newton's method is adequate. The important feature of this procedure is the obtaining of zeros of polynomials by combining Newton's method, synthetic division and functional properties of polynomials. The algorithm has been tested on many examples and numerical calculations have produced a greater degree of accuracy.
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