DocumentCode
3028844
Title
A New Method for Simultaneous Extraction of All Roots of Algebraic Polynomial
Author
Zhang Ying ; Zeng Zhe-zhao
Author_Institution
Railway Traffic Dept., Hunan Railway Prof. Technol. Coll., Zhuzhou, China
Volume
1
fYear
2009
fDate
11-14 Dec. 2009
Firstpage
197
Lastpage
200
Abstract
In this paper, we present a new algorithm of multi-point iterative method for simultaneous determination of all roots of polynomial. Its convergence was researched. The computation is carried out by simple steepest descent rule with adaptive variable step-size. The specific examples illustrated that the proposed method can find simultaneously the roots of polynomials at a very rapid convergence and very high accuracy with less computation.
Keywords
convergence; gradient methods; polynomials; adaptive variable step-size; algebraic polynomial roots; multipoint iterative method; simultaneous extraction method; steepest descent rule; Communication system control; Computational intelligence; Control systems; Educational institutions; Iterative algorithms; Iterative methods; Polynomials; Rail transportation; Security; Signal processing algorithms; algorithm; convergence; neural network; roots of polynomial;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Security, 2009. CIS '09. International Conference on
Conference_Location
Beijing
Print_ISBN
978-1-4244-5411-2
Type
conf
DOI
10.1109/CIS.2009.77
Filename
5376640
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