ESTIMATES OF THE DOUBLE DETERMINANTS OF QUATERNION MATRICES

doi:10.1016/S0252-9602(10)60116-6

Abstract

Abstract:

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.

Key words: Assortive pair, double determinant, inequality, quaternion matrix

CLC Number:

15A23

FENG Liang-Gui, CHENG Wei. ESTIMATES OF THE DOUBLE DETERMINANTS OF QUATERNION MATRICES[J].Acta mathematica scientia,Series B, 2010, 30(4): 1189-1198.

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