On the geometry of numerical ranges over finite fields

DOI10.1016/j.laa.2021.07.008zbMath1472.15029arXiv2107.09191OpenAlexW3186998566MaRDI QIDQ1979396

Jonny Quezada, James Willson, Gage Hoefer, Patrick X. Rault, Rebekah B. Johnson Yates, Kristin A. Camenga, Brandon Collins

Publication date: 2 September 2021

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

Full work available at URL: https://arxiv.org/abs/2107.09191

zbMATH Keywords

numerical rangefinite fieldsfield of valuesboundary generating curve\(2\times 2\) matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (1)

A characterization of 𝔽q-linear subsets of affine spaces 𝔽n q2

Cites Work

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• On the numerical range of matrices over a finite field
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• Singularities of base polynomials and Gau-Wu numbers
• Singular points of the ternary polynomials associated with 4-by-4 matrices
• On the numerical range of a matrix
• Über den Wertevorrat einer Matrix

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