arXiv Open Access 2020

A Condition for Multiplicity Structure of Univariate Polynomials

Hoon Hong Jing Yang

Lihat Sumber

Abstrak

We consider the problem of finding a condition for a univariate polynomial having a given multiplicity structure when the number of distinct roots is given. It is well known that such conditions can be written as conjunctions of several polynomial equations and one inequation in the coefficients, by using repeated parametric gcd's. In this paper, we give a novel condition which is not based on repeated gcd's. Furthermore, it is shown that the number of polynomials in the condition is optimal and the degree of polynomials is smaller than that in the previous condition based on repeated gcd's.

Topik & Kata Kunci

cs.SC

Penulis (2)

Hoon Hong

Jing Yang

Format Sitasi

APA MLA BibTeX

Hong, H., Yang, J. (2020). A Condition for Multiplicity Structure of Univariate Polynomials. https://arxiv.org/abs/2001.02388

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓