Abstract:

By using the theory of α-chain diagonally dominant matrices and some techniques for Hlder inequalities, we obtained some new criteria for nonsingular H-matrices, and thus the corresponding results improved and generalized the existing determination methods for H-matrices. The validity and superiority of the determination methods were illustrated by numerical examples.

Key words: nonsingular H-matrix； diagonally dominant matrix； positive diagonal matrix； &alpha, -chain diagonally dominant matrix