ESTIMATES OF THE DOUBLE DETERMINANTS OF QUATERNION MATRICES |
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| Authors: | Feng Lianggui Cheng Wei |
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| Institution: | Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, China |
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| 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. |
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| Keywords: | Assortive pair double determinant inequality quaternion matrix |
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