给出了广义严格对角占优矩阵的若干充要条件，改进了相应结果。
Some necessary and sufficient conditions are given and the corresponding results are improved.
广义严格对角占优矩阵在许多领域中具有重要作用，但其判定是不容易的。
Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not.
广义严格对角占优矩阵的判定在计算数学和矩阵论的研究占有重要的地位。
The generalized strict opposite Angle occupies the superior matrix the determination holds the important status in the computational mathematics and the theory of matrices research.
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