Title :
A Neural-Network Iteration Formula for the Simultaneous Inclusion of Polynomial Zeros
Author :
Wang, Chuangxin ; Zeng, Zhezhao
Author_Institution :
Coll. of Electr. & Inf. Eng., Changsha Univ. of Sci. &Technol., Changsha, China
Abstract :
In this paper, we construct a neural-network iteration formula for simultaneously finding all roots of an algebraic polynomials with adaptive parameters. Its convergence was researched. The specific examples showed that the proposed method can simultaneously find all zeros of polynomials at a very rapid convergence and very high accuracy with less computation.
Keywords :
iterative methods; mathematics computing; neural nets; polynomials; algebraic polynomials; neural-network iteration formula; polynomial zeros; Computational intelligence; Convergence; Educational institutions; Equations; Information security; Interpolation; Iterative methods; Lagrangian functions; Polynomials;
Conference_Titel :
Computational Intelligence and Security, 2008. CIS '08. International Conference on
Conference_Location :
Suzhou
Print_ISBN :
978-0-7695-3508-1
DOI :
10.1109/CIS.2008.59