Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials

Details Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials

2012-04-17

arxiv.org/abs/1204.3773v1

Computer Science

Symbolic Computation

Scientific paper

In this paper, a matrix representation for the differential resultant of two generic ordinary differential polynomials $f_1$ and $f_2$ in the differential indeterminate $y$ with order one and arbitrary degree is given. That is, a non-singular matrix is constructed such that its determinant contains the differential resultant as a factor. Furthermore, the algebraic sparse resultant of $f_1, f_2, \delta f_1, \delta f_2$ treated as polynomials in $y, y', y"$ is shown to be a non-zero multiple of the differential resultant of $f_1, f_2$. Although very special, this seems to be the first matrix representation for a class of nonlinear generic differential polynomials.

Affiliated with

Also associated with

No associations

Rating

Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289814