Several inequalities involving Khatri–Rao products of positive semidefinite matrices Original Research Article

The Khatri–Rao and Tracy–Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. Based on the connection between the Khatri–Rao and Tracy–Singh products, we establish new inequalities involving Khatri–Rao products of positive semidefinite matrices. The results lead to inequalities involving Hadamard products, as a special case.