No abstract

H‐matrices play an important role in solving linear systems and in many other fields. General conditions for the class of nonsingular H‐matrices are not always easy to check in practice. Therefore, we give some more practical conditions concerning some subclasses of nonsingular H‐matrices.

No abstract

We establish some explicit expressions for norm-wise, mixed and componentwise condition numbers for the weighted Moore-Penrose inverse of a matrix A ⊗ B and more general matrix function compositions involving Kronecker products. The condition number for the weighted least squares problem (WLS) involving a Kronecker product is also discussed.