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Characterization of acyclic D-stable matrices - MaRDI portal

Characterization of acyclic D-stable matrices (Q795896)

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scientific article; zbMATH DE number 3863385
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Characterization of acyclic D-stable matrices
scientific article; zbMATH DE number 3863385

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    Characterization of acyclic D-stable matrices (English)
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    1984
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    Necessary and sufficient conditions are given for acyclic matrices, i.e. matrices whose graph does not contain a cycle, to be D-stable, i.e. DA has all eigenvalues in the right half plane for every positive diagonal matrix D. This result generalizes recent results on the D-stability of tridiagonal matrices.
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    D-stability
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    acyclic matrices
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    tridiagonal matrices
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