Two-sided linear split quaternionic equations withnunknowns

DOI10.1080/03081087.2013.851196zbMath1311.15005OpenAlexW2055438206MaRDI QIDQ2938320

Mustafa Özdemir, Melek Erdoğdu

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.851196

zbMATH Keywords

quaternionssplit quaternionslinear quaternion equations

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear equations (linear algebraic aspects) (15A06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (9)

On the semisimilarity and consemisimilarity of split quaternions ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Matrices over Quaternion Algebras ⋮ Cramer's rules for some Hermitian coquaternionic matrix equations ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ The number of zeros of unilateral polynomials over coquaternions revisited ⋮ Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\) ⋮ On the split quaternion matrix equation \(AX=B\) ⋮ An efficient method for solving equations in generalized quaternion and octonion algebras

Cites Work

• Linear quaternionic equations and their systems
• The roots of a split quaternion
• The classification and the computation of the zeros of quaternionic, two-sided polynomials
• Rotations with unit time-like quaternions in Minkowski 3-space
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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