Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 559-568.

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JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

Chen Longxuan, Hou Renmin, Wang Liangtao   

  1. Department of Mathematics, Yantai University, Yantai 264005, P. R. China
  • Received:1995-03-31 Revised:1995-11-24 Online:1996-06-18 Published:1996-06-18
  • Supported by:
    This paper was reported on the National 5th Algebra Conference and supported by the Natural Science Foundation of Shandong Province of China

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

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