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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We introduced the concept of block directed edge cover diagonal quasi dominant matrix, obtained a new nonsingularity criteria for matrices and distribution theorem on eigenvalues of matrix.

引进了拟块有向边覆盖对角占优矩阵概念，给出了新的矩阵非奇异判定定理和特征值分布定理。

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The calculation methods of diagonally dominant matrix in-situ replacement are researched, including the matrix determinant, the matrix equation unknown and the matrix inversion computation.

研究对角占优矩阵原位替换解算方法，包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。

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