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

• Articles • Previous Articles     Next Articles

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

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

2010 MSC Number: 

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