Abstract:

Based on the theory of α-diagonally dominant matrices and some techniques for inequlities, several new sufficient conditions to determine nonsingular H-matrices were obtained and thus the corresponding results were improved and generalized. These conditions have improved and generalized some relate existed results for Hmatrices. A numerical example was given to show the advantages of our results.

Key words:  , nonsingular H-matrices； diagonlly dominant matrices； positive diagonally matrices； &alpha, -diagonal dominant matrices