对角占优矩阵 diagonally dominant matrices ; diagonally-dominant matrix
严格对角占优矩阵 Strictly diagonally dominant matrix ; strongly diagonally dominant symmetric matrix
广义对角占优矩阵 Generalized Diagonally Dominant Matrix ; generalized dominant matrices
分块对角占优 block diagonal dominance
双严格对角占优 diagonal strictly dominance
负对角占优 dominant negative diagonal
块广义严格对角占优 BGSD
且按行严格对角占优 Diagonal Donimant
严格对角占优的 strictly diagonally dominant
Two different forms of distribution of the left eigenvalues and right eigenvalues are obtained and some properties of eigenvalues of quaternion diagonally dominant matrices are also discussed.
由于四元数乘法的不可交换性,得到两种形式的四元数矩阵特征值分布定理,研究了四元数体上严格对角占优矩阵特征值的一些性质。
参考来源 - 四元数体上代数的若干矩阵问题研究·2,447,543篇论文数据，部分数据来源于NoteExpress
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.
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。
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.
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。
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.
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