Krylov Subspaces Associated with Higher-Order Linear Dynamical Systems

@article{Freund2005KrylovSA,
  title={Krylov Subspaces Associated with Higher-Order Linear Dynamical Systems},
  author={Roland W. Freund},
  journal={BIT Numerical Mathematics},
  year={2005},
  volume={45},
  pages={495-516}
}
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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