On inequalities involving the Hadamard product of matrices.

Mond, B.; Pečarić, J.

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Inequalities involving Hadamard products of Hermitian matrices.

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Tian, Yongge, Styan, George P.H. (2005)

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Some inequalities for the Khatri-Rao product of matrices.

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Matrix inequalities involving the Khatri-Rao product

Xian Zhang, Zhong Peng Yang, Chong-Guang Cao (2002)

Archivum Mathematicum

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We extend three inequalities involving the Hadamard product in three ways. First, the results are extended to any partitioned blocks Hermitian matrices. 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.