3×3 pure imaginary quaternionic solutions of the Hurwitz matrix equations

DOI10.1080/03081080903109120zbMath1204.15021OpenAlexW2082606950MaRDI QIDQ3060020

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Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1080/03081080903109120

zbMATH Keywords

quaternionHurwitz matrix equationspure imaginary quaternionic solutions

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (1)

On solutions of the generalized Stein quaternion matrix equation

Cites Work

• On the pure imaginary quaternionic solutions of the Hurwitz matrix equations
• Quaternion orthogonal designs from complex companion designs
• Orthogonal designs with maximal rates
• Two formulas for the generalized radon-hurwitz number^*
• The Theory of Quaternion Orthogonal Designs
• On the crossing rule
• Vector fields on spheres

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