93 citations · 322 across the 31 of their papers we have counts for
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math.OC2019
Certifying polynomial nonnegativity via hyperbolic optimization
James Saunderson
We describe a new approach to certifying the global nonnegativity of multivariate polynomials by solving hyperbolic optimization problems---a class of convex optimization problems…
math.OC2019
Limitations on the expressive power of convex cones without long chains of faces
James Saunderson
A convex optimization problem in conic form involves minimizing a linear functional over the intersection of a convex cone and an affine subspace. In some cases, it is possible to…