1 citations · 1 across the 3 of their papers we have counts for
4 papers
Stratifying Discriminant Hypersurface
Rizeng Chen, Hoon Hong, Jing Yang
This paper investigates the stratification of the discriminant hypersurface associated with a univariate polynomial via the number of its distinct complex roots. We introduce two n…
A Generalization of Habicht's Theorem for Subresultants of Several Univariate Polynomials
Hoon Hong, Jiaqi Meng, Jing Yang
Subresultants of two univariate polynomials are one of the most classic and ubiquitous objects in computational algebra and algebraic geometry. In 1948, Habicht discovered and prov…
Improving Angular Speed Uniformity by Piecewise Radical Reparameterization
Hoon Hong, Dongming Wang, Jing Yang
For a rational parameterization of a curve, it is desirable that its angular speed is as uniform as possible. Hence, given a rational parameterization, one wants to find re-paramet…
Computing greatest common divisor of several parametric univariate polynomials via generalized subresultant polynomials
Hoon Hong, Jing Yang
In this paper, we tackle the following problem: compute the gcd for several univariate polynomials with parametric coefficients. It amounts to partitioning the parameter space into…