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首页> 外文期刊>Journal of Civil Engineering and Construction Technology >New Holder-type inequalities for the Tracy-Singh and Khatri-Rao products of positive matrices
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New Holder-type inequalities for the Tracy-Singh and Khatri-Rao products of positive matrices

机译：正矩阵Tracy-Singh和Khatri-Rao乘积的新Holder型不等式

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摘要

Recently, authors established a number of inequalities involving Khatri-Rao product of two positive matrices. Here, in this paper, the results are established in three ways. First, we find new Holder-type inequalities for Tracy-Singh and Khatri-Rao products of positive semi-definite matrices. Secondly, the results are extended to provide estimates of sums of the Khatri-Rao and Tracy-Singh products of any finite number of positive semi-definite matrices. Finally, the results lead to inequalities involving the Hadamard and Kronecker products, as a special case.
机译：最近，作者建立了许多涉及两个正矩阵的Khatri-Rao乘积的不等式。在此，本文以三种方式确定结果。首先，我们找到了正半定矩阵的Tracy-Singh和Khatri-Rao乘积的新Holder型不等式。其次，扩展结果以提供任何有限数量的正半定矩阵的Khatri-Rao和Tracy-Singh乘积之和的估计。最后，作为特殊情况，结果导致涉及Hadamard和Kronecker产品的不平等。

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