An Algorithm Finding Roots of Algebraic Polynomial Based on Dynamic PID neurons

In this paper, we proposed an algorithm finding roots of algebraic polynomial based on PID (proportional-integral-derivative) neuron network, which the hidden layer of PID neural network was composed by proportion, integral and differential neurons. The PID neural network´s input was error signal between the value of polynomial at and the given value 0, and its output was the root to find. The specific examples illustrated that the proposed method can find the roots of polynomials with less computation, high accuracy and rapid convergence.