Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1297-1304.

• 论文 • 上一篇    

GENERALIZED DIAGONALIZATION OF MATRICES OVER QUATERNION FIELD

姜同松1, 陈丽2   

  1. 1. Department of Mathematics, Linyi Teachers College, Linyi 276005, P. R. China;
    2. Department of Physics, Linyi Teachers College, Linyi 276005, P. R. China
  • 收稿日期:1998-04-29 修回日期:1999-06-28 出版日期:1999-11-18 发布日期:1999-11-18
  • 基金资助:
    the Natural Science Foundation of Shandong Province,China

GENERALIZED DIAGONALIZATION OF MATRICES OVER QUATERNION FIELD

Jiang Tongsong1, Chen Li2   

  1. 1. Department of Mathematics, Linyi Teachers College, Linyi 276005, P. R. China;
    2. Department of Physics, Linyi Teachers College, Linyi 276005, P. R. China
  • Received:1998-04-29 Revised:1999-06-28 Online:1999-11-18 Published:1999-11-18
  • Supported by:
    the Natural Science Foundation of Shandong Province,China

摘要: A concept of  diagonalization matrix over quaternion field is given, the necessary and sufficient conditions for determining whether a quaternion matrix is a  diagonalization one are discussed, and a method of  diagonalization of matrices over quaternion field is given.

Abstract: A concept of  diagonalization matrix over quaternion field is given, the necessary and sufficient conditions for determining whether a quaternion matrix is a  diagonalization one are discussed, and a method of  diagonalization of matrices over quaternion field is given.

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