Eigenvalue localization of \(G\)-stable matrix polytopes

DOI10.1007/BF00980713zbMath0798.15021OpenAlexW3163182224MaRDI QIDQ1329014

Albert C. Peng, Marek K. Solak

Publication date: 6 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf00980713

zbMATH Keywords

eigenvalue localization\(G\)-stable matrix polytopeseigenvalue locuspolytopes of vertex matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Matrices of integers (15B36)

Cites Work

• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Comments, with reply, on "Stability of a polytope of matrices: counterexamples" by B.R. Barmish et al
• Reduced conservatism of eigenvalue estimation
• Stability of a polytope of matrices: counterexamples
• Stability analysis of a family of matrices
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