116 citations · 1.1k across the 72 of their papers we have counts for
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Positive univariate trace polynomials
Igor Klep, James Eldred Pascoe, Jurij Volčič
A univariate trace polynomial is a polynomial in a variable x and formal trace symbols Tr(x^j). Such an expression can be naturally evaluated on matrices, where the trace symbols a…
Classifying minimal vanishing sums of roots of unity
Louis Christie, Kenneth J. Dykema, Igor Klep
A vanishing sum of roots of unity is called minimal if no proper, nonempty sub-sum of it vanishes. This paper classifies all minimal vanishing sums of roots of unity of weight at m…
Optimization over trace polynomials
Igor Klep, Victor Magron, Jurij Volčič
Motivated by recent progress in quantum information theory, this article aims at optimizing trace polynomials, i.e., polynomials in noncommuting variables and traces of their produ…
Noncommutative partially convex rational functions
Michael Jury, Igor Klep, Mark E. Mancuso +2
Motivated by classical notions of bilinear matrix inequalities (BMIs) and partial convexity, this article investigates partial convexity for noncommutative functions. It is shown t…