A. J. W. Helton

Learn More
The (matrical) solution set of a Linear Matrix Inequality (LMI) is a convex basic non-commutative semi-algebraic set (defined below). The main theorem of this paper is a converse, a result which has implications for both semidefinite programming and systems engineering. A non-commutative semi-algebraic set is defined in terms of a non-commutative ℓ ×(More)
  • 1