Review
Abstract
In this paper, several inequalities involving positive integer powers of the Hadamard product of two matrices are presented. Firstly, a new upper bound for the product of their determinants and an inequality that relates the trace of the power of the Hadamard product of two matrices are given. Also, an alternative proof of the theorem established by Ulukok and Turkmen (2010) was given on the Frobenius norm of the power of the Hadamard product of two nonnegative matrices.
Key words: Hadamard product, trace inequalities, matrix norm.
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