Jordan Canonical Forms of Matrices over Quaternion Field

Chen Longxuan; Hou Renmin; Wang Liangtao

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Chen Longxuan, Hou Renmin, Wang Liangtao. Jordan Canonical Forms of Matrices over Quaternion Field[J]. Applied Mathematics and Mechanics, 1996, 17(6): 533-542.

Citation:

Chen Longxuan, Hou Renmin, Wang Liangtao. Jordan Canonical Forms of Matrices over Quaternion Field[J]. Applied Mathematics and Mechanics, 1996, 17(6): 533-542.

Citation:

Chen Longxuan, Hou Renmin, Wang Liangtao. Jordan Canonical Forms of Matrices over Quaternion Field[J]. Applied Mathematics and Mechanics, 1996, 17(6): 533-542.

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Jordan Canonical Forms of Matrices over Quaternion Field

Department of Mathematics, Yantai University, Yantai, Shandong 264005, P. R. China

Received Date: 1995-03-31
Rev Recd Date: 1995-11-24
Publish Date: 1996-06-15

Abstract

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 watues.
- double determinant,
- double characteristic polynomial,
- principal characlcristic value,
- Jordan canonical form

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References(7)

References

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