Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 559-568.
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Chen Longxuan, Hou Renmin, Wang Liangtao
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Abstract: Using quaternion multiplication and the double determinant theory overquaternion .field. we proved that an arbitrary quaternion square matrix is similar to a unique Jordan canonical form indicated by its principal characteristic watues.
Key words: double determinant, double characteristic polynomial, principal characlcristic value, Jordan canonical form
Chen Longxuan;Hou Renmin;Wang Liangtao. JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD. Applied Mathematics and Mechanics (English Edition), 1996, 17(6): 559-568.
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https://www.amm.shu.edu.cn/EN/Y1996/V17/I6/559