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.
@article{107840,
author = {Xian Zhang and Zhong Peng Yang and Chong-Guang Cao},
title = {Matrix inequalities involving the Khatri-Rao product},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {265-272},
zbl = {1090.15015},
mrnumber = {1942656},
language = {en},
url = {http://dml.mathdoc.fr/item/107840}
}
Zhang, Xian; Yang, Zhong Peng; Cao, Chong-Guang. Matrix inequalities involving the Khatri-Rao product. Archivum Mathematicum, Tome 038 (2002) pp. 265-272. http://gdmltest.u-ga.fr/item/107840/
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