1) weakly generalized diagonally dominant matrix
弱广义对角占优矩阵
1.
New properties of weakly generalized diagonally dominant matrix;
弱广义对角占优矩阵的新性质
2) generalized dominant matrices
广义对角占优矩阵
1.
Some new necessary and sufficient conditions for the complex square matrix to be a generalized dominant matrices are given in the paper.
给出了复方阵为广义对角占优矩阵新的判定准则，同时也得到了复方阵为非广义对角占优矩阵的判定方 法。
3) generalized strictly diagonally dominant matrix
广义严格对角占优矩阵
1.
α-diagonally dominant matrices andcriteria for generalized strictly diagonally dominant matrix;
α-对角占优矩阵与广义严格对角占优矩阵的判定
2.
A is a generalized strictly diagonally dominant matrix,both Jacobi and Gauss-Seidel iterative methods of Equation Ax=b converge.
对广义严格对角占优矩阵A给出了解线性方程组Ax=b的Jacobi迭代法及Gauss-Seidel迭代法均收敛的证明。
3.
We present some simple practical criteria for verifying whether a locally diagonally dominant matrix is a generalized strictly diagonally dominant matrix.
引进局部对角占优矩阵的概念,得到这类矩阵的一些性质,给出了局部对角占优矩阵为广义严格对角占优矩阵的简单而实用的判定准则。
4) generalized sub-diagonally dominant matrices
广义次对角占优矩阵
1.
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.
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。
5) generalized strictly diagonally dominant matrices
广义严格对角占优矩阵
1.
A simple and practicable method of judging generalized strictly diagonally dominant matrices and nonsingular M-matrices is introduced.
广义严格对角占优矩阵与非奇 M矩阵是非常重要的两类矩阵。
2.
In this paper, we adopt the definition of generalized Nekrasov matrices and give two equivalent conditions for generalized strictly diagonally dominant matrices, obtain some new practical criteria for generalized strictly diagonally dominant matrices, which include and extend some relevant results.
广义严格对角占优矩阵在数值分析和矩阵理论的研究中非常重要。
3.
<Abstrcat>By using the properties of Ostrowski diagonally dominant matrix,some sufficient conditions for weak α-double diagonally dominant matrix to be generalized strictly diagonally dominant matrices and comparative matrices to be nonsingular M-matrices.
利用Ostrowski对角占优矩阵的性质,给出了弱α连对角占优矩阵为广义严格对角占优矩阵及其比较阵为非奇异M矩阵的若干充分条件,作为应用给出了相应的特征值分布定理,拓广了广义严格对角占优矩阵的判定准则。
6) generalized diagonally dominant matrix
广义对角占优矩阵
1.
A necessary and sufficient condition for matrix A to be generalized diagonally dominant matrix is presented.
对矩阵Ａ定义一种迭代，得到两个序列Ａ（ｎ）和Ｎ（ｎ）１；通过对这两个序列的分析，得到Ａ为广义对角占优矩阵的一个充分必要条件，以及一些相关的结论。
2.
By using the properties of diagonally dominant matrices,two sufficient conditions are obtained for the nonsingularity of generalized diagonally dominant matrices and for generalized diagonally dominant matrix to be M-matrix.
利用对角占优矩阵的性质 ,得到了广义对角占优矩阵非奇异的 2个简单的判别条件及为M 矩阵的条件 。
3.
For a generalized diagonally dominant matrix A ,a positive diagonally matrix Λ ,can be given to make A Λ a diagonally dominant matrix.
利用线性方程组解的理论得到了矩阵广义对角占优的又一判定定理 ,对于用此方法判定的广义对角占优矩阵A ,可具体给出正对角阵Λ ,使AΛ为对角占优阵。
补充资料：对角矩阵
对角矩阵
diagonal matrix
对角矩阵[血，司比.七妞;八.arooa二‘ua，MaTp“职] 一个方阵，其中除主对角线上的元素可能不是零以外，其余元素都是零.0.A.”般H。股撰【补注】域K上的(陀xn)对角矩阵具有下列形式: ra.o……O、 10几·…认01 LO···……a，)其中a‘是K的元素.张鸿林译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条