On the extreme eigenvalues of Toeplitz and real Hankel interval matrices

DOI10.1007/BF00986007zbMath0769.15003MaRDI QIDQ1209720

David Hertz

Publication date: 16 May 1993

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

interval matricesextreme eigenvaluesvertex matricesHermitian Toeplitz interval matricesreal Hankel interval matricessymmetric Toeplitz interval matrices

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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• Simple bounds on the extreme eigenvalues of Toeplitz matrices
• The extreme eigenvalues and stability of Hermitian interval matrices
• The maximal eigenvalue and stability of a class of real symmetric interval matrices

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