119 citations · 224 across the 24 of their papers we have counts for
26 papers
Optimality of Curtiss Bound on Poincare Multiplier for Positive Univariate Polynomials
Hoon Hong, Brittany Riggs
Let be a monic univariate polynomial with non-zero constant term. We say that is positive if is positive over all . If all the coefficients of are non-ne…
Parametric "Non-nested" Discriminants for Multiplicities of Univariate Polynomials
Hoon Hong, Jing Yang
We consider the problem of complex root classification, i.e., finding the conditions on the coefficients of a univariate polynomial for all possible multiplicity structures on its…
Subresultant of several univariate polynomials
Hoon Hong, Jing Yang
Subresultant of two univariate polynomials is a fundamental object in computational algebra and geometry with many applications (for instance, parametric GCD and parametric multipl…
Connectivity in Semi-Algebraic Sets I
Hoon Hong, James Rohal, Mohab Safey El Din +1
A semi-algebraic set is a subset of the real space defined by polynomial equations and inequalities having real coefficients and is a union of finitely many maximally connected com…
A Condition for Multiplicity Structure of Univariate Polynomials
Hoon Hong, Jing Yang
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 s…
Number of Real Critical Points of Cyclotomic Polynomials
Hoon Hong, Andrew J. Sommese
We study the number of real critical points of a cyclotomic polynomial , that is, the real roots of . As usual, one can, without losing generality, res…