An inclusion region for the eigenvalues of partitioned matrices

DOI10.1080/00207178308932982zbMath0497.93005OpenAlexW2089415818MaRDI QIDQ3962852

David J. N. Limebeer

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308932982

zbMATH Keywords

interconnected systemsinclusion regioneigenvalues of partitioned matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Large-scale systems (93A15) Stability of control systems (93D99)

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Cites Work

• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• The application of generalized diagonal dominance to linear system stability theory

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