On exponential of split quaternionic matrices

DOI10.1016/j.amc.2017.08.007zbMath1426.15047OpenAlexW2747450717WikidataQ115598211 ScholiaQ115598211MaRDI QIDQ1740171

Melek Erdoğdu, Mustafa Özdemir

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.08.007

zbMATH Keywords

quaternionsplit quaternionquaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Lie algebras of linear algebraic groups (17B45) Matrix exponential and similar functions of matrices (15A16)

Related Items (3)

\(2\times 2\) matrix representation forms and inner relationships of split quaternions ⋮ Unnamed Item ⋮ Elementary transformation and its applications for split quaternion matrices

Cites Work

• Geršgorin type theorems for quaternionic matrices
• Split quaternion matrix representation of dual split quaternions and their matrices
• The roots of a split quaternion
• Right eigenvalues for quaternionic matrices: A topological approach
• Split-quaternions and the Dirac equation
• On complex split quaternion matrices
• On eigenvalues of split quaternion matrices
• Rotations with unit time-like quaternions in Minkowski 3-space
• On the eigenvalues of quaternion matrices
• Some explicit formulas for the matrix exponential
• Matrix Exponential via Clifford Algebras
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• On left eigenvalues of a quaternionic matrix
• Quaternions and matrices of quaternions
• Unnamed Item
• Unnamed Item

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