Abstract:

Based on the theory of inequality, the necessary and sufficient conditions of strictly α-diagonally dominant matrix were presented. According to the properties of strictly α-diagonally dominant matrix, simple and practical criteria to judge nonsingular H-matrix were obtained. The validity and superiority of the results were verified by a numerical example.

Key words: α-diagonally dominant matrix, irreducible diagonally dominant matrix； nonsingular H-matrix； nonzero elements chain