116 citations · 1.1k across the 72 of their papers we have counts for
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math.OA2024
Duality, extreme points and hulls for noncommutative partial convexity
Igor Klep, Scott McCullough, Tea Štrekelj
This article studies generalizations of (matrix) convexity, including partial convexity and biconvexity, under the umbrella of -convexity. Here is a tuple of free symmetric…
math.OC2024
Upper bound hierarchies for noncommutative polynomial optimization
Igor Klep, Victor Magron, Gaël Massé +1
This work focuses on minimizing the eigenvalue of a noncommutative polynomial subject to a finite number of noncommutative polynomial inequality constraints. Based on the Helton-Mc…
math.FA2024
Cross-positive linear maps, positive polynomials and sums of squares
Igor Klep, Klemen Šivic, Aljaž Zalar
A linear map between matrix spaces is called cross-positive if it is positive on orthogonal pairs of positive semidefinite matrices in the sense that $\langle U,V\rangl…