Inclusion regions for matrix eigenvalues

DOI10.1016/S0024-3795(02)00279-3zbMath1054.15020OpenAlexW1972331617MaRDI QIDQ1855443

Ilse C. F. Ipsen, Christopher A. Beattie

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00279-3

zbMATH Keywords

singular valuesHermitian matrixnormal matriceseigenvalue inclusion regions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

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Robust Pole Assignment for Ordinary and Descriptor Systems via the Schur Form ⋮ Pole assignment via the Schur form ⋮ Eigenvalue inclusion regions from inverses of shifted matrices

Cites Work

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• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Harmonic Ritz and Lehmann bounds
• Zur Verwendung optimaler Eigenwerteingrenzungen bei der Lösung symmetrischer Matrizenaufgaben
• Matrix Analysis
• Generalizations of Temple's Inequality

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