Numerical Range of a Normal Compression

DOI10.1080/0308108031000123659zbMath1066.15027OpenAlexW2036067411MaRDI QIDQ4818361

Pei Yuan Wu, Hwa-Long Gau

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.1080/0308108031000123659

zbMATH Keywords

eigenvaluesnumerical rangenormal compression

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Dilations, extensions, compressions of linear operators (47A20)

Related Items (9)

Numerical range of a normal compression. II ⋮ Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Poncelet's porism in the finite real plane ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ On numerical ranges of the compressions of normal matrices ⋮ Continuity of submatrices and Ritz sets associated to a point in the numerical range ⋮ A characterization of complex plane Poncelet curves ⋮ Four Theorems with Their Foci on Ellipses ⋮ Location of Ritz values in the numerical range of normal matrices

Cites Work

• Numerical ranges and Poncelet curves
• A secular equation for the eigenvalues of a diagonal matrix perturbation
• UB-matrices and conditions for Poncelet polygon to be closed
• Numerical range ofs(φ)
• Lucas' theorem refined^∗
• Numerical ranges, Poncelet curves, invariant measures
• On compressions of normal matrices

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