Abstract
Using quaternion multiplication and the double determinant theory over quaternion field, we proved that an arbitrary quaternion square matrix is similar to a unique Jordan canonical form indicated by its principal characteristic values.
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Communicated by Chien Weizang
This paper was reported on the National 5th Algebra Conference and supported by the Natural Science Foundation of Shandong Province of China
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Longxuan, C., Renmin, H. & Liangtao, W. Jordan canonical forms of matrices over quaternion field. Appl Math Mech 17, 559–568 (1996). https://doi.org/10.1007/BF00119754
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DOI: https://doi.org/10.1007/BF00119754