New criteria for nonsingular H-matrices

Abstract

In this paper, according to the theory of two classes of $ \alpha $-diagonally dominant matrices, the row index set of the matrix is divided properly, and then some positive diagonal matrices are constructed. Furthermore, some new criteria for nonsingular $ H $-matrix are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed criteria.

Keywords

• diagonally dominant matrix
• $ \alpha $-diagonally dominant matrix
• nonsingular $ h $-matrix
• criteria
• numerical examples