非奇异H-矩阵的细分迭代判定

摘要

利用α-对角占优矩阵理论对矩阵的行指标集进行细分,通过构造递进迭代系数构造正对角矩阵,给出广义严格α-对角占优矩阵的判定条件,得到了非奇异H-矩阵的细分迭代判定准则.数值实例表明,所给判定准则有效.%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.