%0 Journal Article
%T Model Reduction by Rational Interpolation
%A Christopher Beattie
%A Serkan Gugercin
%J Computer Science
%D 2014
%I arXiv
%X The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined methods for deriving interpolatory reduced models directly from input/output measurements; and extensions for the reduction of parametrized systems. This chapter offers a survey of interpolatory model reduction methods starting from basic principles and ranging up through recent developments that include weighted model reduction and structure-preserving methods based on generalized coprime representations. Our discussion is supported by an assortment of numerical examples.
%U http://arxiv.org/abs/1409.2140v1