A new perspective on the quaternionic numerical range of normal matrices

DOI10.1080/03081087.2021.1902924OpenAlexW3137497680MaRDI QIDQ5870075

Sérgio Mendes, Luís Carvalho, Cristina Diogo

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1902924

zbMATH Keywords

numerical rangequaternionscomplex matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Numerical range, numerical radius (47A12)

Cites Work

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• Quaternionic numerical range of complex matrices
• The star-center of the quaternionic numerical range
• Convexity of the upper complex plane part of the numerical range of a quaternionic matrix
• The numerical range of normal matrices with quaternion entries
• A short proof of a theorem on the numerical range of a normal quaternionic matrix