116 citations · 1.1k across the 72 of their papers we have counts for
3 papers · 1 filter
On real one-sided ideals in a free algebra
Jakob Cimprič, J. William Helton, Igor Klep +2
In classical and real algebraic geometry there are several notions of the radical of an ideal I. There is the vanishing radical defined as the set of all real polynomials vanishing…
An exact duality theory for semidefinite programming based on sums of squares
Igor Klep, Markus Schweighofer
Farkas' lemma is a fundamental result from linear programming providing linear certificates for infeasibility of systems of linear inequalities. In semidefinite programming, such l…
Free analysis, convexity and LMI domains
J. William Helton, Igor Klep, Scott McCullough
This paper concerns free analytic maps on noncommutative domains. These maps are free analogs of classical holomorphic functions in several complex variables, and are defined in te…