The concept of local double diagonally matrix is introduced in this paper, and three sufficient conditions of the generalized sub-diagonally dominant matrices are obtained.

提出局部次对角占优矩阵的概念，得到了广义次对角占优矩阵的二个充分条件。

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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在许多领域中具有重要作用，但其判定是不容易的。

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In this paper we propose the concept of a weak strictly diagonally dominant matrix given some DE terminate sufficient conditions for generalized strictly diagonally dominant matrices.

本文提出了弱严格对角占优矩阵的概念，并由此给出了广义严格对角占优矩阵的若干判定条件。

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