An Algorithm Finding Multiple Roots of Polynomials Based on PID Neurons

Author

Li, Guimei ; Zeng, Zhezhao

Author_Institution

Sch. of Comput. & Electron. Eng., Hunan Univ. of Commerce, Changsha, China

Volume

1

fYear

2010

fDate

11-12 May 2010

Firstpage

470

Lastpage

473

Abstract

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.

Keywords

convergence; neurocontrollers; polynomials; three-term control; PID neurons network; Proportional-Integral-Derivative; cubic convergent methods; multiple roots; polynomials; Automation; Business; Computer networks; Convergence; Educational institutions; Intelligent networks; Neural networks; Neurons; Polynomials; Signal processing algorithms; Neural network; PID neurons; multiple roots; polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on

Conference_Location

Changsha

Print_ISBN

978-1-4244-7279-6

Electronic_ISBN

978-1-4244-7280-2

Type

conf

DOI

10.1109/ICICTA.2010.527

Filename

5522637