JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

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

JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

陈龙玄, 侯仁民, 王亮涛

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

收稿日期:1995-03-31 修回日期:1995-11-24 出版日期:1996-06-18 发布日期:1996-06-18
基金资助:
This paper was reported on the National 5th Algebra Conference and supported by the Natural Science Foundation of Shandong Province of China

JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

Chen Longxuan, Hou Renmin, Wang Liangtao

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

摘要/Abstract

摘要： 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.

关键词: double determinant, double characteristic polynomial, principal characlcristic value, Jordan canonical form

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

陈龙玄;侯仁民;王亮涛. JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(6): 559-568.

Chen Longxuan;Hou Renmin;Wang Liangtao. JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(6): 559-568.

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JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD

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