arXiv Open Access 2012

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

Zhi-Yong Zhang Chun-Ming Yuan Xiao-Shan Gao

Lihat Sumber

Abstrak

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 $f_1, f_2, δf_1, δf_2$ 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.

Topik & Kata Kunci

cs.SC

Penulis (3)

Zhi-Yong Zhang

Chun-Ming Yuan

Xiao-Shan Gao

Format Sitasi

APA MLA BibTeX

Zhang, Z., Yuan, C., Gao, X. (2012). Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials. https://arxiv.org/abs/1204.3773

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓