ELA, Volume 9, pp. 276-281, October 2002, abstract.  

Some Inequalities for the Khatri-Rao 
Product of Matrices

Chong-Guang Cao, Xian Zhang, and Zhong-Peng Yang

Several inequalities for the Khatri-Rao product 
of complex positive definite Hermitian matrices 
are established, and these results generalize 
some known inequalities for the Hadamard and
Khatri-Rao products of  matrices.