Maps Without Certain Singularities.
Matrix equalities and inequalities involving Khatri-Rao and Tracy-Singh sums.
Matrix functions: Taylor expansion, sensitivity and error analysis
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.
Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges
In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs, linear or power unicyclic hypergraphs with given girth, linear or power bicyclic hypergraphs, respectively.
Multiplication modules and tensor product.