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diagonally dominant matix 对角占优矩阵
The coefficient matrix of the linear equations is diagonally dominant when the difference schemes designed reasonably. 通过合理设计差分格,使得到的线性方程组系数矩阵严格对角占优,可使求解无条件稳定。
Generalized strictly diagonally dominant matrix play an important role in matrix theory and real applications. 广义严格对角占优矩阵在矩阵理论和实际应用中具有重要的作用和意义。
The sufficient and necessary conditions for the complex square matrix to be a generalzed diagonally dominant matrices are given in the paper. 给出了复方阵为广义对角占优阵的一个充要条件，同时也给出了复方阵为广义对角占优阵的判别方法。
For strictly diagonally dominant matrices, this bounds are sharper than those of [1, Lin. Alg. Appl., 287(1999), 289-305] and [2, Lin. Alg. Appl., 330 (2001), 1-14]. 对于严格对角占优矩阵的情形;三对角矩阵逆元素的界改进了文献[1; Lin.;Alg
In this paper, some sufficient conditions for generalized strictly diagonally dominant matrices are given, and improve and generalize some related results. 摘要本文给出了广义严格对角占优矩阵的几个判据，改进并推广了一些相关结果。
This paper gives the concept and properties of interval diagonally dominant matrices,then the sufficient and necessary condition for interval dominant matrices is discussed. 引入区间对角占优矩阵的定义;讨论了区间对角占优矩阵的性质;给出了区间对角占优矩阵的判定方法.
DONG An-guo, YOU Zhao-yong.An iterative judgment of generalized diagonally dominant matrix [J ].Journal of Xi'an Highway University, 1998,18(2): 115-117. [7]董安国;游兆永.;广义对角矩阵的迭代判别[J]
But it isn't easy to determine whether the matrix is or not generalized strictly diagonally dominant matrix in reality, especially for the large matrices. 但实际中对此类矩阵进行有效判别,尤其是对大型矩阵的判别,还存在许多困难。
This paper gives the concept and properties of interval diagonally dominant matrices, then the sufficient and necessary condition for interval dominant matrices is discussed. 摘要引入区间对角占优矩阵的定义，讨论了区间对角占优矩阵的性质，给出了区间对角占优矩阵的判定方法。
A few sufficient conditions for generalized diagonally dominant matrices are obtained, which generalized some recent results. A numerical example illustrates the effectiveness of our results. 摘要本文给出了广义对角占优矩阵的几个充分条件，改进了近期的一些结果，并用数值例子说明了结果的有效性。
In this paper, some sufficient conditions and a necessary condition for a matrix to be a generalized strictly diagonally dominant matrix is given. Some previous results are improved and generalized. 本文给出了广义严格对角占优矩阵的若干充分条件和必要条件，从而改进和推广了一些已有的结果.
Author proved that diagonally schur complement of I-block strictly diagonally dominant matrices was still I-block strictly diagonally dominant matrices,and proved that the diagonally schur complements of I-BDD was still I-BDD by a continuity argument. 利用矩阵分块的思想,主要证明了I-块严格对角占优阵的对角schur补仍然是I-块严格对角占优阵,同时利用连续性证明了I-BDD的对角schur补还是I-BDD。
In this paper,we provide some new necessary and sufficient conditions for generalized diagonally dominant matrices and also obtain some criteria for nongeneralized dominant matrices. 本文进一步给出了广义对角占优矩阵新的判定准则，从而也得到了非广义对角占优矩阵的判定方法.
Especially, strictly diagonally dominant periodic tridiagonal and pentadiagonal matrix play an important role in theory, and have very extensively application in numerical analysis. 其中，严格对角占优五对角矩阵及(周期)三对角矩阵在理论上起着非常重要的作用，在数值分析中的应用很广泛。
In this paper,we give the estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices,and improve the latest findings. 本文给出了严格对角占优周期三对角矩阵逆元素上界和下界的估计,改进了一些学者近期的研究结果。
In the meantime, the matrix's eigenwert and nonsingular problem was analyzed under the condition of irreducibility and diagonally dominance. 另一方面,从若干角度分析了在不可约且对角占优条件下,矩阵的特征值和奇异性问题。
NOTES ON LOCAL DOUBLE DIAGONALLY DOMINANT MATRICES 局部双对角占优矩阵的注记
diagonally dominant system of equation 对角优势方程组
Here a perturbed diagonal matrix is added to the coefficient matrix before the ILU factorization process to make the real part of the matrix more diagonally dominant. 在这里我们在不完全分解(ILU)进行以前对系数矩阵加一个对角扰动，使得系数矩阵的实部更加正定，从而三角分解算法更为稳定，分解出来的预处理矩阵从而也更为的稳定。