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Sylvester equations and projection-based model reduction. - MaRDI portal

Sylvester equations and projection-based model reduction. (Q1421227)

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scientific article; zbMATH DE number 2032622
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Sylvester equations and projection-based model reduction.
scientific article; zbMATH DE number 2032622

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    Sylvester equations and projection-based model reduction. (English)
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    26 January 2004
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    The paper is devoted to the projection-based reduction of generalized time-invariant control systems \(E\dot x= Ax+ Bu\), \(y= Cx +Du\). A connection is established between the Krylov subspace technique for multipoint Padé interpolation and the use of Sylvester matrix equations as well as with the Arnoldi-Lanczos type methods.
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    Model reduction
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    Time-invariant linear systems
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    large-scale system
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    Rational interpolation
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    Multipoint Padé approximation
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    time-invariant control systems
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    Krylov subspace technique
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    Sylvester matrix equations
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    Arnoldi-Lanczos type methods
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