Geodesic
Matrix inequalities involving the Khatri-Rao product
Archivum mathematicum, Tome 38 (2002) no. 4, pp. 265-272.

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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.
Classification : 15A45, 15A69
Keywords: matrix inequality; Khatri-Rao product; Tracy-Singh product; Hadamard product; Kronecker product; Schur complement 
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     title = {Matrix inequalities involving the {Khatri-Rao} product},
     journal = {Archivum mathematicum},
     pages = {265--272},
     publisher = {mathdoc},
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     mrnumber = {1942656},
     zbl = {1090.15015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2002__38_4_a2/}
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Zhang, Xian; Yang, Zhong-Peng; Cao, Chong-Guang. Matrix inequalities involving the Khatri-Rao product. Archivum mathematicum, Tome 38 (2002) no. 4, pp. 265-272. http://geodesic.mathdoc.fr/item/ARM_2002__38_4_a2/