On a Compression of Normal Matrix Polynomials

DOI10.1080/03081080310001634804zbMath1066.15026OpenAlexW2038786524MaRDI QIDQ4818364

Maria Adam, Panayiotis J. Psarrakos

Publication date: 28 September 2004

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080310001634804

zbMATH Keywords

eigenvaluenumerical rangecompressionmatrix polynomialnormal matricescharacterstic polynomial

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Matrices over function rings in one or more variables (15A54)

Related Items (4)

Approximation of the numerical range of polynomial operator matrices ⋮ On numerical ranges of the compressions of normal matrices ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ Polynomial numerical hulls of matrix polynomials

Cites Work

• Unnamed Item
• On the connectedness of numerical range of matrix polynomials
• Numerical ranges and Poncelet curves
• The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials
• Numerical range ofs(φ)
• Numerical Range of Matrix Polynomials
• C-numerical ranges andC-numerical radii
• Normal and seminormal eigenvalues of matrix functions
• On the shape of numerical range of matrix polynomials
• On compressions of normal matrices

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