【摘要】 非奇异H-矩阵在数值线性代数的理论与应用中起着重要作用,因此判定一个矩阵是否为非奇异H-矩阵有着非常重要的意义.本文根据广义严格α-链对角占优矩阵和广义严格α-对角占优矩阵的性质,以及引入迭代因子,给出了一组非奇异H-矩阵新的迭代判定条件.这些判定条件推广和改进了相关已有结果,丰富和完善了非奇异H-矩阵的理论,数值算例说明了其有效性.更多还原

【Abstract】 Since nonsingular H-matrices play important roles m the theory and application of Numerical Linear Algebra,it is necessary to know whether a given matrix is a nonsingular H-matrix.In this paper,a group of some sufficient conditions for nonsingular H-matrices is given according to the properties of generalized strictly α-chain diagonally dominant matrices,generalized strictly α-diagonally dominant matrices,and the method of applying the iteration factors.In addition,it improves some related results and enriches the theory of nonsingular H-matrices.Finally,the effectiveness of these sufficient conditions is illustrated with numerical examples.更多还原