On quaternionic numerical ranges with respect to nonstandard involutions

DOI10.1016/J.LAA.2017.11.013zbMath1380.15030OpenAlexW2770625932MaRDI QIDQ1688903

Meysam Rahjoo, Gholamreza Aghamollaei

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.11.013

zbMATH Keywords

numerical rangenonstandard involutionquaternion matrices

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)

Related Items (4)

A system of coupled quaternion matrix equations with seven unknowns and its applications ⋮ Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ On the boundedness of quaternionic numerical ranges with respect to nonstandard involutions

Cites Work

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• Some results on the k-numerical range of quaternion matrices
• Quaternions for Computer Graphics
• Higher numerical ranges of quaternion matrices
• Finite quaternionic matrix groups
• Quaternionic Numerical Range and Real Subspaces
• The numerical range of normal matrices with quaternion entries
• Quaternions and matrices of quaternions

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