Second, the Hadamard product is replaced by the Khatri-Rao product. Third, the necessary and sufficient conditions under which equalities occur are presented. Thereby, we generalize two inequalities involving the Khatri–Rao product.关键词: Matrix inequality Khatri-Rao product Tracy-Singh product ...
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The Khatri-Rao product of A and B is given by A∗B:=(Aij⊗Bij). We denote by Ip∈Mp(Mq) the pq×pq identity matrix, which is partitioned according to the block structure of the matrices of Mp(Mq). Clearly, when q=1, that is, A and B are p×p matrices with complex ...