Matrix polynomials with spectral radius equal to the numerical radius

DOI10.1016/j.jmaa.2011.03.008zbMath1242.15020OpenAlexW1995661664MaRDI QIDQ541235

Harald K. Wimmer

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.008

zbMATH Keywords

numerical rangespectral radiusmatrix polynomialsnumerical radiusJordan chainsnormal eigenvaluessemisimple eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

Related Items (1)

JSH transformation and its application to stability analysis for linear discrete time-delay systems

Cites Work

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• Numerical Range of Matrix Polynomials
• On the Stability Radius of Matrix Polynomials
• Numerical approximation of the boundary of numerical range of matrix polynomials

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