On solutions of quaternion matrix equations \(XF-AX=BY\) and \(XF-A\widetilde{X}=BY\)
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Publication:1954128
DOI10.1016/S0252-9602(12)60153-2zbMath1274.15032OpenAlexW2080751517MaRDI QIDQ1954128
Caiqin Song, Xiao-dong Wang, Guo-Liang Chen
Publication date: 20 June 2013
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60153-2
algorithmsLyapunov matrix equationexplicit solutionKronecker mapcomplex representation methodgeneralized Sylvester-quaternion matrix equation
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Related Items (8)
On solutions to the matrix equations \(XB-AX=CY\) and \(XB-A\hat{X}=CY\) ⋮ Solutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\) ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AX= BY $$ and XF−AX˜=BY$$ XF-A\tilde{X}= BY $$ ⋮ A real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equation ⋮ Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field ⋮ A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices ⋮ Iterative algorithm for solving a class of quaternion matrix equation over the generalized \((P, Q)\)-reflexive matrices
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