ESTIMATES OF THE DOUBLE DETERMINANTS OF QUATERNION MATRICES  

作　　者：冯良贵 程薇 

机构地区：[1]Department of Mathematics and Systems Science, National University of Defense Technology

出　　处：《Acta Mathematica Scientia》2010年第4期1189-1198,共10页数学物理学报（B辑英文版）

基　　金：supported in part by NCET (NCET06-9-23);NUDT (JC08-02-03)

摘　　要：An estimate of the upper bound is given for the double determinant of the sum of two arbitrary quaternion matrices, and meanwhile the lower bound on the double determinant is established especially for the sum of two quaternion matrices which form an assortive pair. As applications, some known results are obtained as corollaries and a question in the matrix determinant theory is answered completely.An estimate of the upper bound is given for the double determinant of the sum of two arbitrary quaternion matrices, and meanwhile the lower bound on the double determinant is established especially for the sum of two quaternion matrices which form an assortive pair. As applications, some known results are obtained as corollaries and a question in the matrix determinant theory is answered completely.

关 键 词：Assortive pair double determinant INEQUALITY quaternion matrix 

分 类 号：O151.21[理学—数学] O175.29[理学—基础数学]