关于非奇异H-矩阵的判定

Criteria for Nonsingular H-matrix

国内外学者给出了一系列非奇异H-矩阵的实用判定条件,但许多条件本身的表现形式和计算比较复杂,使其在实际应用中不便操作。利用了非零元素链对角占优矩阵的理论,给出了引理2.2从而改进了文定理1的非奇异H-矩阵的一组实用判定条件,进而推出了文相应的结果.

Series of criteria for a matrix to be Nonsingular H-matrix have been given by many scholars.But the operation is inconvenient in practical application due to the complexity of the forms and calculations of many conditions themselves.Based on the theory of nonzero elements chain diagonally dominant H-matrix,this paper gives the lemma 2.2 to thereby improve a set of practical criteria condition of non singular matrix in the theorem1 of Reference,and then introduces the corresponding results of Reference