On polynomial numerical hulls of normal matrices

DOI10.1016/j.laa.2003.12.025zbMath1061.15022OpenAlexW1975220724MaRDI QIDQ1826844

Abbas Salemi, Chandler Davis

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.025

zbMATH Keywords

spectrumrectangular hyperbolanormal matrixpolynomial numerical hullnumerical order

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Polynomial numerical hulls of some normal matrices ⋮ Polynomial numerical hulls of the direct sum of a normal matrix and a Jordan block ⋮ Spectral Bounds Using Higher-Order Numerical Ranges ⋮ Field of values of perturbed matrices and quantum states ⋮ Polynomial numerical hulls of matrices ⋮ Complete stagnation of GMRES for normal matrices ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ On higher rank numerical hulls of normal matrices ⋮ Computing the Spectrum and Representing the Resolvent ⋮ Polynomial numerical hulls of the direct sum of two Jordan blocks ⋮ Polynomial numerical hulls of matrix polynomials

Cites Work

• Generalizations of the field of values useful in the study of polynomial functions of a matrix
• Hessenberg matrices in krylov subspaces and the computation of the spectrum
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