116 citations · 1.1k across the 72 of their papers we have counts for
5 papers · 1 filter
Noncommutative Nullstellensätze and Perfect Games
Adam Bene Watts, John William Helton, Igor Klep
The foundations of classical Algebraic Geometry and Real Algebraic Geometry are the Nullstellensatz and Positivstellensatz. Over the last two decades the basic analogous theorems f…
Noncommutative Polynomial Optimization
Abhishek Bhardwaj, Igor Klep, Victor Magron
In this chapter we present the sums of Hermitian squares approach to noncommutative polynomial optimization problems. This is an extension of the sums of squares approach for polyn…
Ranks of linear matrix pencils separate simultaneous similarity orbits
Harm Derksen, Igor Klep, Visu Makam +1
This paper solves the two-sided version and provides a counterexample to the general version of the 2003 conjecture by Hadwin and Larson. Consider evaluations of linear matrix penc…
Dimension-free entanglement detection in multipartite Werner states
Felix Huber, Igor Klep, Victor Magron +1
Werner states are multipartite quantum states that are invariant under the diagonal conjugate action of the unitary group. This paper gives a complete characterization of their ent…
Facial structure of matrix convex sets
Igor Klep, Tea Štrekelj
This article investigates the notions of exposed points and (exposed) faces in the matrix convex setting. Matrix exposed points in finite dimensions were first defined by Kriel in…