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- W2085361143 abstract "In this paper, we discuss some optimality results for the approximation of large-scale matrix equations. In particular, this includes the special case of Lyapunov and Sylvester equations, respectively. We show a relation between the iterative rational Krylov algorithm and a Riemannian optimization method which recently has been shown to locally minimize a certain energy norm of the underlying Lyapunov operator. Moreover, we extend the results for a more general setting leading to a slight modification of IRKA. By means of some numerical test examples, we show the efficiency of the proposed methods." @default.
- W2085361143 created "2016-06-24" @default.
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- W2085361143 date "2014-05-01" @default.
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- W2085361143 title "On optimality of approximate low rank solutions of large-scale matrix equations" @default.
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- W2085361143 doi "https://doi.org/10.1016/j.sysconle.2014.02.005" @default.
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