New Method to Extend Macaulay Resultant
If Macaulay matrix is degenerated, then we can not derive the relation between the common zeros and coef ficients in polynomial system. In order to overcome this, we present a new method to compute the extended Macaulay re sultant. After getting the Macaulay matrix, we use elementary row transformation to reduce the matrix. If there is only one nonzero element in some row and this row is generated by all polynomials, then it can be regarded as Macaulay resultant. Furthermore, in order to remove the extraneous in resultant the companion vector for each row is introduced in Macaulay matrix to record the coefficients of polynomials in system. The vector is the coefficients of polynomial that is generated by fl,… , fn. We can remove most of extraneous factors in Macaulay resultant. This method can be used more widely than regular Macaulay resultant.
Macaulay matrix Gauss Elimiation extended Macaulay resultant extraneous factor
Li Yaohui
Department of Computer Science,Tianjin University of Technology and Education, Tianjin 300222
国际会议
长沙
英文
3541-3544
2009-10-10（万方平台首次上网日期，不代表论文的发表时间）