The quaternion matrix equation ΣA i XB i =E

DOI10.1007/BF02563888zbMath0908.15007MaRDI QIDQ4391499

Li-Ping Huang

Publication date: 15 March 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

existenceexplicit solutionsuniquenessquaternion matrix equationquaternion division algebra

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (8)

On solutions to the matrix equations \(XB-AX=CY\) and \(XB-A\hat{X}=CY\) ⋮ Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution ⋮ On the general solutions to some systems of quaternion matrix equations ⋮ A real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equation ⋮ Similarity reduction of matrix over a quaternion division ring ⋮ Consimilarity of quaternion matrices and complex matrices ⋮ The explicit solutions and solvability of linear matrix equations ⋮ Solvability of a quaternion matrix equation

Cites Work

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• Linear matrix equations: The module theoretic approach
• Algebraic method for the study of some linear matrix equations
• The moore-penrose inverse of a matrix over a semi-simpie artinian ring
• Linear Matrix Equations Controllability and Observability, and the Rank of Solutions
• Explicit Solutions of the Matrix Equation $\sum {A^i XD_i } = C$
• The matrix equationAXB+CYD=Eover a simple artinian ring

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