116 citations · 1.1k across the 72 of their papers we have counts for
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math.RA2011★ 13 cited
A local-global principle for linear dependence of noncommutative polynomials
Matej Bresar, Igor Klep
A set of polynomials in noncommuting variables is called locally linearly dependent if their evaluations at tuples of matrices are always linearly dependent. By a theorem of Camino…
math.RA2011★ 56 cited
The convex Positivstellensatz in a free algebra
J. William Helton, Igor Klep, Scott McCullough
Given a monic linear pencil L in g variables let D_L be its positivity domain, i.e., the set of all g-tuples X of symmetric matrices of all sizes making L(X) positive semidefinite.…