133 citations · 554 across the 117 of their papers we have counts for
5 papers · 1 filter
Complex static skew-symmetric output feedback control
Christopher J. Hillar, Frank Sottile
We study the problem of feedback control for skew-symmetric and skew-Hamiltonian transfer functions using skew-symmetric controllers. This extends work of Helmke, et al., who studi…
The monotone secant conjecture in the real Schubert calculus
Nickolas Hein, Christopher J. Hillar, Abraham Martin del Campo +2
The monotone secant conjecture posits a rich class of polynomial systems, all of whose solutions are real. These systems come from the Schubert calculus on flag manifolds, and the…
Injectivity of 2D Toric Bézier Patches
Frank Sottile, Chungang Zhu
Rational Bézier functions are widely used as mapping functions in surface reparameterization, finite element analysis, image warping and morphing. The injectivity (one-to-one prope…
The Phase Limit Set of a Variety
Mounir Nisse, Frank Sottile
A coamoeba is the image of a subvariety of a complex torus under the argument map to the real torus. We describe the structure of the boundary of the coamoeba of a variety, which w…
Lower bounds in real algebraic geometry and orientability of real toric varieties
Evgenia Soprunova, Frank Sottile
The real solutions to a system of sparse polynomial equations may be realized as a fiber of a projection map from a toric variety. When the toric variety is orientable, the degree…