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The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials

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Publication:2784369
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DOI10.1137/S0895479899364088zbMath1002.15027OpenAlexW1987550953MaRDI QIDQ2784369

Peter Lancaster, Panayiotis J. Psarrakos

Publication date: 23 April 2002

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479899364088

zbMATH Keywords

eigenvaluenumerical rangespectrumboundarymatrix polynomial


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)


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On a Compression of Normal Matrix Polynomials, The quadratic numerical range of an analytic operator function, Numerical approximation of the boundary of numerical range of matrix polynomials, Normal and seminormal eigenvalues of matrix functions, On the lengths of Jordan chains for eigenvalues on the boundary of numerical range of quadratic operator polynomial, Definite triples of Hermitian matrices and matrix polynomials, Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials, The polar decomposition of block companion matrices



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