Krylov Subspaces Associated with Higher-order Linear Dynamical Systems

  title={Krylov Subspaces Associated with Higher-order Linear Dynamical Systems},
  author={Roland W. Freund},
A standard approach to model reduction of large-scale higher-order linear dynamical systems is to rewrite the system as an equivalent first-order system and then employ Krylov-subspace techniques for model reduction of first-order systems. This paper presents some results about the structure of the block-Krylov subspaces induced by the matrices of such equivalent first-order formulations of higher-order systems. Two general classes of matrices, which exhibit the key structures of the matrices… CONTINUE READING


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