DocumentCode :
2138793
Title :
A Rapid & Precise Algorithm Finding Zeros of Polynomials
Author :
Zhou Hong-bing ; Zeng Zhe-zhao
Author_Institution :
Railway Traffic Dept., Hunan Railway Prof. Technol. Coll., Zhuzhou, China
fYear :
2009
fDate :
24-26 Sept. 2009
Firstpage :
1
Lastpage :
4
Abstract :
A rapid & precise algorithm was proposed to find zeros of polynomials which were not solved by some traditional methods. Its convergence theorem was presented and proved. The computation was carried out by simple steepest descent rule with the variable learning rate. The specific examples illustrated that the proposed method can find the roots of polynomials with less computation, rapid convergence and high accuracy. Furthermore, it had also the added advantage of being able to compute exactly complex roots.
Keywords :
convergence of numerical methods; poles and zeros; polynomials; complex roots computation; polynomial zeros; rapid convergence theorem; rapid-and-precise algorithm; Approximation algorithms; Convergence; Educational institutions; Newton method; Polynomials; Rail transportation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wireless Communications, Networking and Mobile Computing, 2009. WiCom '09. 5th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-3692-7
Electronic_ISBN :
978-1-4244-3693-4
Type :
conf
DOI :
10.1109/WICOM.2009.5303470
Filename :
5303470
Link To Document :
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