对角占优矩阵是计算数学中应用非常广泛的矩阵类它较多出现于经济价值模型和反网络系统的系数矩阵及解某些确定微分方程的数值解法中在信息论系统论现代经济学网络算法和程序设计等众多领域都有着十分重要的应用 定义n阶方阵A如果其主对角线元素的绝对值大于同行其他元素的绝对值之和则称A是严格行对角占优阵如果其主对角线元素的绝对值大于同列其他元素的绝对值之和则称A是严格列对角占优阵 若A是严格对角占优矩阵则关于它的线性代数方程组有解
... 对角平面 diagonal plane; 对角砌合 diagonal bond; 对角占优矩阵 diagonally dominant matrices ...
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... diagonally pivoted link对角枢轴节,倾斜旋转节 diagonally-dominant matrix对角占优矩阵 diagonally dominant matrix对角占优矩阵 ...
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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
次对角占优矩阵 subdiagonally dominant matrices
对称对角占优矩阵 Symmetric diagonally dominant matrix
区间对角占优矩阵 Interval diagonally dominant matrix
弱严格对角占优矩阵 weakly strictly diagonally dominant matrix
广义双对角占优矩阵 generalized doubly diagonally dominant matrix
广义次对角占优矩阵 generalized subdiagonally dominant matrices
严格次对角占优矩阵 strictly subdiagonally dominant matrices
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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