Introduction to C-numerical ranges and C-radii of quaternion matrices

DOI10.1080/03081087.2018.1538311zbMath1501.15017OpenAlexW2898900090WikidataQ114641362 ScholiaQ114641362MaRDI QIDQ5134970

Narges Haj Aboutalebi

Publication date: 18 November 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1538311

zbMATH Keywords

numerical rangequaternion matricesnumerical radius

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Cites Work

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• Elementary inclusion relations for generalized numerical ranges
• Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils
• Quaternionic analysis and elliptic boundary value problems
• Higher numerical ranges of quaternion matrices
• A theorem on numerical range
• Hamilton's Discovery of Quaternions
• Quaternions, Spinors, and Surfaces
• Über den Wertevorrat einer Matrix
• Quaternions and matrices of quaternions

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