An Algorithm Finding Multiple Roots of Polynomials Based on PID Neurons

An algorithm for finding multiple roots of polynomials based on PID (Proportional-Integral-Derivative) neurons network is developed, which were not well solved by the other methods. The approach is especially suitable for finding the multiple roots of polynomials. Several examples are given to illustrate the efficiency of the new method and to give the comparison with the recent cubic convergent methods. The results showed that the proposed approach can find the multiple roots of polynomials with less computation, high accuracy and rapid convergence.