On two questions about quaternion matrices

DOI10.1016/S0024-3795(00)00154-3zbMath0965.15016MaRDI QIDQ1590647

Li-Ping Huang

Publication date: 21 December 2000

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

zbMATH Keywords

quaternion matrixleft eigenvaluescomplex representation matrixnon-diagonalizability

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (10)

Quaternionic eigenvalue problem ⋮ Geršgorin type theorems for quaternionic matrices ⋮ Construction of commutative number systems ⋮ Split quaternion matrix representation of dual split quaternions and their matrices ⋮ On complex split quaternion matrices ⋮ The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra ⋮ A topological approach to left eigenvalues of quaternionic matrices ⋮ Consimilarity of quaternion matrices and complex matrices ⋮ Cayley-Hamilton theorem for left eigenvalues of \(3\times 3\) quaternionic matrices ⋮ Location for the right eigenvalues of quaternion matrices

Cites Work

• The matrix equationAXB+CYD=Eover a simple artinian ring
• Quaternions and matrices of quaternions
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