On the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternions

DOI10.1007/s00006-013-0424-2zbMath1298.15015OpenAlexW1980109971MaRDI QIDQ742330

Mustafa Özdemir, Melek Erdoğdu, Hakan Simsek

Publication date: 18 September 2014

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-013-0424-2

zbMATH Keywords

eigenvectoreigenvalue problemquaternionsrotation matrixsplit quaternionsMinkowski 3 space

Mathematics Subject Classification ID

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

Related Items (11)

Some similarities classes related to O(2,1) in split quaternions ⋮ An alternative approach to elliptical motion ⋮ Introduction to hybrid numbers ⋮ Split quaternion matrix representation of dual split quaternions and their matrices ⋮ On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics ⋮ An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ Rotations on a lightcone in Minkowski 3-space ⋮ The relation between the companion matrix and the companion polynomial in \(\mathbb {R}^4\) algebras ⋮ Generating hyperbolical rotation matrix for a given hyperboloid ⋮ Split-quaternions and the Dirac equation ⋮ Cayley formula in Minkowski space-time

Cites Work

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• The roots of a split quaternion
• Rotations with unit time-like quaternions in Minkowski 3-space
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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