Numerical approximation of the boundary of numerical range of matrix polynomials

DOI10.1002/anac.200410029zbMath1069.65049OpenAlexW2075454154MaRDI QIDQ4680443

Ch. Tsitouras, Panayiotis J. Psarrakos

Publication date: 1 June 2005

Published in: Applied Numerical Analysis & Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/anac.200410029

zbMATH Keywords

eigenvaluenumerical rangediscriminantboundarymatrix polynomial

Mathematics Subject Classification ID

Related Items (3)

Self-inversive Hilbert space operator polynomials with spectrum on the unit circle ⋮ Matrix polynomials with spectral radius equal to the numerical radius ⋮ Matrix pencils with the numerical range equal to the whole complex plane

Cites Work

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• The boundary of the numerical range of matrix polynomials
• Numerical range of linear pencils
• Point equation of the boundary of the numerical range of a matrix polynomial
• On the estimation of the \(q\)-numerical range of monic matrix polynomials
• On the connectedness of numerical range of matrix polynomials
• Definite triples of Hermitian matrices and matrix polynomials
• On factorization of matrix polynomials
• The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials
• Numerical Range of Matrix Polynomials
• Normal and seminormal eigenvalues of matrix functions
• On the shape of numerical range of matrix polynomials

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