TY - GEN A1 - Benner, Peter A1 - Quintana-Ortí, Enrique S. A1 - Quintana-Ortí, Gregorio T1 - Computing Optimal Hankel Norm Approximations of Large-Scale Systems N2 - We discuss an efficient algorithm for optimal Hankel norm approximation of large-scale systems and an implementation which allows to reduce models of order up to O(104) using parallel computing techniques. The major computational tasks in this approach are the computation of a minimal balanced realization, involving the solution of two Lyapunov equations, and the additive decomposition of a transfer function via block diagonalization. We will illustrate that these computational tasks can all be performed using iterative schemes for the matrix sign function. Numerical experiments on a cluster of Linux PCs show the efficiency of our methods. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/118 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1182 ER -