Title :
An Algorithm Finding Roots of Algebraic Polynomial Based on Dynamic PID neurons
Author :
Xu-li, Yang ; Zhe-zhao, Zeng
Author_Institution :
Railway Traffic Dept., Hunan Railway Prof. Technol. Coll., Zhuzhou, China
Abstract :
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.
Keywords :
neural nets; polynomials; three-term control; PID neural network; algebraic polynomial; dynamic PID neurons; proportional-integral-derivative neuron network; Convergence; Educational institutions; Electronic mail; Information technology; Intelligent networks; Neural networks; Neurons; Polynomials; Rail transportation; Signal processing algorithms; PID neurons; algebraic polynomial; algorithm; neural network; roots;
Conference_Titel :
Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-0-7695-3859-4
DOI :
10.1109/IITA.2009.297