【摘要】 该文给出线性方程组改进的Gauss-Seidel迭代法(被称之为IMGS方法)对于H-矩阵的收敛性定理,并且对其参数α_i与SOR迭代法的参数ω的取值范围进行了比较．所用方法及所得结论优于近年来相关结论,并且表明这种IMGS方法对H-矩阵是有效的．更多还原

【Abstract】 In this paper,the author presents the convergent theorems of the improving modified Gauss-Seidel method,referred to as the IMGS method,for H-matrices as well as compare the range of parametersα_i with the parameterωof the SOR iterative method.The methods and results appeared in this paper are superior to those in recent results.The corresponding results in this paper also show that the IMGS method is effective to H-matrices.更多还原