On generalized H-matrices

In this paper, we present some new and interesting equivalent conditions for generalized H-matrices which arise in the numerical solution of Euler equations in fluid flow computations and in the study of invariant tori of dynamical systems. Some remarks on Definition 5.1 in [R. Nabben, On a class of matrices which arise in the numerical solution of Euler equations, Numer. Math. 63 (1992) 411-431] are given.