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arXiv · 1406.7241

Consimilarity of Split Quaternion Matrices and a Solution of the Split Quaternion Matrix Equation X-AX_B=C

Hidayet Huda Kosal·Mahmut Akyigit·Murat Tosun
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Abstract

In this paper, the consimilarity of complex matrices is generalized for the split quaternions. In this regard, coneigenvalue and coneigenvector are defined for split quaternion matrices. Also, the existence of solution to the split quaternion matrix equation X-AXB = C is characterized and the solution of the equation in the explicit form are derived via its real representation.

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Hidayet Huda Kosal, Mahmut Akyigit, Murat Tosun. 2014-06-27. Consimilarity of Split Quaternion Matrices and a Solution of the Split Quaternion Matrix Equation X-AX_B=C. https://doi.org/10.1515/auom-2016-0054

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