Abstract: Some subdivided line index sets of the matrix were given by using the theory of α-diagonally dominant matrices. A positive diagonal matrix was constructed by constructing iterative coefficients. Some determination conditions of generalized strictly α-diagonally dominant matrices were given, and some subdivided iterative criteria for nonsingular Hmatrices were obtained. Numerical examples show that the given criteria are effective.

Key words: nonsingular Hmatrix, αdiagonally dominant matrix, criteria