ESTIMATES OF THE DOUBLE DETERMINANTS OF QUATERNION MATRICES
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作者:
冯良贵
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机构:
Department of Mathematics and Systems Science, National University of Defense TechnologyDepartment of Mathematics and Systems Science, National University of Defense Technology
冯良贵
[1
]
程薇
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h-index: 0
机构:
Department of Mathematics and Systems Science, National University of Defense TechnologyDepartment of Mathematics and Systems Science, National University of Defense Technology
程薇
[1
]
机构:
[1] Department of Mathematics and Systems Science, National University of Defense Technology
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.
机构:
Xiangtan Polytech Univ, Inst Math & Software, Xiangtan 411201, Peoples R ChinaXiangtan Polytech Univ, Inst Math & Software, Xiangtan 411201, Peoples R China