Igor Pontes Duff

\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation

Abstract. This paper addresses the [Formula: see text]-optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major contributions are threefold. First, we derive interpolatory first-order optimality co...