Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 1046-1053.

• 论文 • 上一篇    下一篇

THE DOUBLE DETERMINANT OF VANDERMONDE’S TYPE OVER QUATERNION FIELD

侯仁民, 赵旭强, 王亮涛   

  1. Department of Mathematics and Information Science, Yantai University, Yantai 264000, P. R. China
  • 收稿日期:1998-02-25 修回日期:1999-04-18 出版日期:1999-09-18 发布日期:1999-09-18

THE DOUBLE DETERMINANT OF VANDERMONDE’S TYPE OVER QUATERNION FIELD

Hou Renmin, Zhao Xuqiang, Wang Liangtao   

  1. Department of Mathematics and Information Science, Yantai University, Yantai 264000, P. R. China
  • Received:1998-02-25 Revised:1999-04-18 Online:1999-09-18 Published:1999-09-18

摘要: Based on the double determinant theory the problem about the determinant of Vandermonde’s type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal to zero is got.

关键词: quaternion field, double determinant, Vandermonde determinant

Abstract: Based on the double determinant theory the problem about the determinant of Vandermonde’s type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal to zero is got.

Key words: quaternion field, double determinant, Vandermonde determinant

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