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- W1967348596 abstract "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 of first-order formulations of higher-order systems, are introduced. It is proved that for both classes, the block-Krylov subspaces induced by the matrices in these classes can be viewed as multiple copies of certain subspaces of the state space of the original higher-order system." @default.
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- W1967348596 date "2005-09-01" @default.
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- W1967348596 title "Krylov Subspaces Associated with Higher-Order Linear Dynamical Systems" @default.
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- W1967348596 doi "https://doi.org/10.1007/s10543-005-0011-6" @default.
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