Title :
Computing the Dixon Derived Polynomial by Combination Resultant Method
Author :
Yuan, Xun ; Zhang, Jingzhong ; Feng, Yong
Author_Institution :
Chengdu Inst. of Comput. Applic., Chinese Acad. of Sci., Chengdu, China
Abstract :
Dixon resultant method is a fundamental elimination method for simultaneously eliminating several variables from polynomials. In this paper, we put forward the combination resultant method to construct any Dixon derived polynomial for any nonlinear polynomial system. Further we can obtain Dixon matrix. Through the method, we discover the mechanism of producing Dixon derived polynomials.
Keywords :
polynomial matrices; Dixon derived polynomial; Dixon matrix; combination resultant method; elimination method; nonlinear polynomial system; Artificial neural networks; Bismuth; Computer applications; Electronic mail; Polynomials; Dixon polynomial; combination resultant; resultant;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.169
