116 citations · 1.1k across the 72 of their papers we have counts for
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math.OA2009★ 9 cited
A Note on Values of Noncommutative Polynomials
Matej Bresar, Igor Klep
We find a class of algebras A satisfying the following property: for every nontrivial noncommutative polynomial, the linear span of all its values in A equals A. This class include…
math.OA2009★ 59 cited
Analytic mappings between noncommutative pencil balls
J. William Helton, Igor Klep, Scott McCullough
In this paper, we analyze problems involving matrix variables for which we use a noncommutative algebra setting. To be more specific, we use a class of functions (called NC analyti…
math.DS2009★ 11 cited
Sign patterns for chemical reaction networks
J. William Helton, Igor Klep, Vitaly Katsnelson
Most differential equations found in chemical reaction networks (CRNs) have the form , where lies in the nonnegative orthant, where is a real matrix (the…