Matrices and submatrices with constrained invariant factors
Matrices with prescribed rows and invariant factors
Matrix and operator inequalities.
Matrix bounds for the solution of the continuous algebraic Riccati equation.
Matrix equalities and inequalities involving Khatri-Rao and Tracy-Singh sums.
Matrix inequalities involving the Khatri-Rao product
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.
Matrix versions of the Cauchy and Kantorovich inequalities.
Maximizing the determinant for a special class of block-partitioned matrices.
Multiplicative principal-minor inequalities for a class of oscillatory matrices.