Consimilarity and quaternion matrix equations \(AX -\hat{X}B = C\), \(X - A\hat{X}B = C\)
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Publication:2259446
DOI10.2478/spma-2014-0018zbMath1310.15022arXiv1412.2801OpenAlexW3101142464MaRDI QIDQ2259446
Vladimir V. Sergeichuk, Tatiana Klimchuk
Publication date: 4 March 2015
Published in: Special Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.2801
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)
Related Items (5)
Generalization of Roth's solvability criteria to systems of matrix equations ⋮ Matrices over Quaternion Algebras ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ Roth's solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\) ⋮ Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\)
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