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Keywords:
matrix inequality; Khatri-Rao product; Tracy-Singh product; Hadamard product; Kronecker product; Schur complement
matrix inequality; Khatri-Rao product; Tracy-Singh product; Hadamard product; Kronecker product; Schur complement
Summary:
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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