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关于Hadamard-like不等式

Juping WANG,Dongxing GUO,Hongyan CAO,Shuling WANG,Chichen ZHANG

Journal of HuaZhong Normal University(Natural Sciences)（2017）

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Abstract
给出了由林明华提出的Hadamard-like不等式问题的部分证明,用直接的方法证明了该不等式当n=2,3时不成立,当n=4时成立以及对于特殊的三对角矩阵,该不等式当n≥3时恒成立.最后,文中给出了一种新的Hadamard-like不等式,此种不等式对于任意的Hermitian矩阵当n≥2成立.
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Key words
determinant,Hadamard-like inequality,Hermitian matrices
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