对称局部双对角占优矩阵与非奇H矩阵的判定

Symmetrical Local Double Diagomally Dominant Matrices And the Criteria Of Non-singular H-Matrix

非奇H矩阵在许多领域中都发挥着重要作用,但在实用中要判别H矩阵却是很困难的.利用2类对称局部双对角占优矩阵获得了非奇H矩阵的2个充分条件,并用数值例子说明了所得结果的有效性.

H matrices play an serveral important role in many fields,but in practice it is difficult to determine a matrix is an H matrix or not.In this paper,the concepts of two kinds symmetrical local double diagonally dominant matrices are introduced,using these concepts we obtain some new sufficient conditions about non-singular H matrices,the numerical example illustrates the effectiveness of our results.