Some inequalities for sums of nonnegative definite matrices in quaternions
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作者:
Yongge Tian
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机构:Shanghai University of Finance and Economics,School of Economics
Yongge Tian
George PH Styan
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机构:Shanghai University of Finance and Economics,School of Economics
George PH Styan
机构:
[1] Shanghai University of Finance and Economics,School of Economics
[2] McGill University,Department of Mathematics and Statistics
来源:
Journal of Inequalities and Applications
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2005卷
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摘要:
Some matrix versions of the Cauchy-Schwarz and Frucht-Kantorovich inequalities are established over the quaternionic algebra. As applications, a group of inequalities for sums of Hermitian nonnegative definite matrices over the quaternionic algebra are derived.