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。
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。
Based on the properties of block diagonally dominant matrices, generalized strictly diagonally dominant matrices and nonsingular M-matrices. We give the new condition of nonsingular matrices.
利用矩阵的块对角占优、广义严格对角占优以及非奇异m -矩阵的性质及理论，给出了矩阵非奇异的判定条件，拓展了矩阵非奇异性的判定准则。
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