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cs.SC2024
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…
cs.SC2024
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…