On the pure imaginary quaternionic solutions of the Hurwitz matrix equations

DOI10.1016/j.laa.2006.06.005zbMath1119.15014OpenAlexW2003667543MaRDI QIDQ865424

Yik-Hoi Au-Yeung, Che-Man Cheng

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.06.005

zbMATH Keywords

quaternionsHurwitz matrix equationRadon-Hurwitz numberpure imaginary quaternionic orthonormal matrices

Mathematics Subject Classification ID

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

Related Items (5)

On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications ⋮ 3×3 pure imaginary quaternionic solutions of the Hurwitz matrix equations ⋮ Least squares solution of the quaternion matrix equation with the least norm ⋮ Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm

Cites Work

• Two formulas for the generalized radon-hurwitz number^*
• On the crossing rule
• On Matrices Whose Real Linear Combinations are Nonsingular
• On Matrices whose Nontrivial Real Linear Combinations are Nonsingular
• Isoclinic 𝑛-planes in Euclidean 2𝑛-space, Clifford parallels in elliptic (2𝑛-1)-space, and the Hurwitz matrix equations
• Vector fields on spheres

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