Linear quaternionic equations and their systems

DOI10.1007/s00006-010-0264-2zbMath1226.15002OpenAlexW2146434970MaRDI QIDQ640366

Vitalii S. Shpakivskyi

Publication date: 18 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00006-010-0264-2

zbMATH Keywords

quaternionsgeneral linear quaternionic equationssystems of linear quaternionic 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

Solving quaternion ordinary differential equations with two-sided coefficients ⋮ On the semisimilarity and consemisimilarity of split quaternions ⋮ Two-sided linear split quaternionic equations withnunknowns ⋮ Cramer's rules for some Hermitian coquaternionic matrix equations ⋮ Some new quaternionic quadratics with zeros in terms of second order quaternion recurrences ⋮ Basis-free solution to general linear quaternionic equation ⋮ A general method for solving linear elliptic biquaternion equations ⋮ An efficient method for solving equations in generalized quaternion and octonion algebras

Cites Work

• Similarity and consimilarity of elements in the real Cayley-Dickson algebras.
• On the equation 𝜒𝛼=𝛾𝜒+𝛽 over an algebraic division ring
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