Matrix inequalities involving the Khatri-Rao product
Xian Zhang, Zhong Peng Yang, Chong-Guang Cao (2002)
Archivum Mathematicum
Similarity:
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.