76 citations · 81 across the 4 of their papers we have counts for
4 papers
Multiple zeros of nonlinear systems
Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng
As an attempt to bridge between numerical analysis and algebraic geometry, this paper formulates the multiplicity for the general nonlinear system at an isolated zero, presents an…
A numerical method for computing the Jordan Canonical Form
Zhonggang Zeng, Tien-Yien Li
The Jordan Canonical Form of a matrix is highly sensitive to perturbations, and its numerical computation remains a formidable challenge. This paper presents a regularization theor…
Counting Real Roots in Polynomial-Time for Systems Supported on Circuits
J. Maurice Rojas
Suppose has cardinality , with all the coordinates of the having absolute value at most , and the do not all lie i…
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces
Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang
We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees were much…