Some Results on the Field of Values of Matrix Polynomials

DOI10.22130/scma.2018.88329.461zbMath1474.15033OpenAlexW3000684682MaRDI QIDQ4985723

Zahra Boor Boor Azimi, Gholamreza Aghamollaei

Publication date: 24 April 2021

Full work available at URL: https://doaj.org/article/f2b1c24066e54202a95f0aeb19f992ac

zbMATH Keywords

perturbationfield of valuesmatrix polynomialcompanion linearizationbasic \(A\)-factor block circulant matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Diagonalization and spectral decomposition of factor block circulant matrices
• Fields of values and iterative methods
• Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
• Polynomial numerical hulls of matrix polynomials, II
• Numerical Range of Matrix Polynomials
• Field of values of perturbed matrices and quantum states

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