Characterizations of the polynomial numerical hull of degree \(k\)

DOI10.1016/j.laa.2006.04.023zbMath1106.15018OpenAlexW2056696190MaRDI QIDQ854852

Anne Greenbaum, James V. Burke

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.04.023

zbMATH Keywords

Hilbert spaceToeplitz matrixToeplitz operatorspolynomial numerical hullnonnormal matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Polynomial numerical hulls of the direct sum of a normal matrix and a Jordan block ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ Computing the Spectrum and Representing the Resolvent ⋮ Polynomial numerical hulls of the direct sum of two Jordan blocks

Uses Software

• Eigtool

Cites Work

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• Fields of values and iterative methods
• Introduction to large truncated Toeplitz matrices
• The polynomial numerical hulls of Jordan blocks and related matrices.
• Generalizations of the field of values useful in the study of polynomial functions of a matrix
• Some theoretical results derived from polynomial numerical hulls of Jordan blocks
• Numerical ranges of large Toeplitz matrices
• The Numerical Range of a Toeplitz Operator
• Variational Analysis
• Card Shuffling and the Polynomial Numerical Hull of Degree k
• Hessenberg matrices in krylov subspaces and the computation of the spectrum
• Spectral Bounds Using Higher-Order Numerical Ranges

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