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Matrix inequalities involving the Khatri-Rao product

Xian Zhang;  Zhong Peng Yang;  Chong-Guang Cao — 2002

Archivum Mathematicum

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.

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