中文摘要：

设A=（aij）∈C^n×n,若对∨i∈N^＋{1,2,…,n}均有｜ɑii｜≥Σj≠i｜ɑij｜,则称A为对角占优矩阵.若存在正对角矩阵T,使得AT为对角占优矩阵,则称A为广义对角占优矩阵.论文通过构造正对角矩阵,在一定条件下得到了广义对角占优矩阵的几个判定条件和性质,改进和推广了一些已有的结果,并用数值例子说明了这些判定条件的有效性和实用性.

英文摘要：

Let A=（aij）∈C^n×n,. If ｜aii｜≥Σj≠i｜ɑij｜ ,∨i∈N^＋{1,2,…,n} then A is said to be a diagonally don dora and inant matrix inant matrix, If there exists a positive diagonal then A is said to be a generalized matrix T such that AT is a diagonally d properties of generalized diagonally dominant matrices are ominant matrix. obtained by c Some diagonally criteria for onstructi positive diagonal matrices. These results improve and generalize some known results. In ng some addition,some numerical examples for the effectiveness of these criteria are presented.