Cayley-Hamilton theorem for left eigenvalues of \(3\times 3\) quaternionic matrices

DOI10.2478/spma-2014-0002zbMath1291.15076OpenAlexW2039770793MaRDI QIDQ2017191

Enrique Macias-Virgós, María José Pereira-Sáez

Publication date: 25 June 2014

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/spma-2014-0002

zbMATH Keywords

Cayley-Hamilton theoremcharacteristic functionquaternionic matrixleft eigenvalue

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Geršgorin type theorems for quaternionic matrices
• Quaternionic determinants
• On two questions about quaternion matrices
• Quasideterminants
• Noncommutative symmetric functions
• Quaternionic Eigenvalues
• The quaternionic determinant
• A topological approach to left eigenvalues of quaternionic matrices
• Quaternions and matrices of quaternions

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