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Dynamical structures on pencils, poles, and fundamental subspaces - MaRDI portal

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Dynamical structures on pencils, poles, and fundamental subspaces (Q1329958)

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scientific article; zbMATH DE number 614134
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English
Dynamical structures on pencils, poles, and fundamental subspaces
scientific article; zbMATH DE number 614134

    Statements

    Dynamical structures on pencils, poles, and fundamental subspaces (English)
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    15 August 1994
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    The theory for poles and zeros of (singular) systems has many points of view. Here, the author connects different viewpoints. On the one hand, there is the module theory and on the other hand, there is the invariant subspace theory. It is shown that the images of two mappings that arise within the module theory equal special invariant subspaces. These invariant subspaces are limit spaces of a fundamental chain associated with the matrix pencil.
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    singular systems
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    poles
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    zeros
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    module theory
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    invariant subspaces
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