2 papers
math.AG2026
The Quartic Hessian Conjecture in Dimension Four
Zixiang Ni
The Hessian conjecture asks whether a polynomial with nonzero constant Hessian determinant has a polynomial gradient inverse. It is known in dimensions at most three, false in dime…
math.OC2025
A generalized Hurwitz stability criterion via rectangular block Hankel matrices for nonmonic matrix polynomials
Zixiang Ni, Yongjian Hu, Xuzhou Zhan
We develop a Hurwitz stability criterion for nonmonic matrix polynomials via column reduction, generalizing existing approaches constrained by the monic assumption and thus serving…