1) generalized subdiagonally dominant matrices
广义次对角占优矩阵
1.
An equivalence condition of the generalized subdiagonally dominant matrices;
广义次对角占优矩阵的等价条件
2.
We first give the concept of generalized subdiagonally dominant matrices,then study the methods for judging generalized subdiagonally dominant matrices,and obtain a sufficient and necessary condition for judging generalized subdiagonally dominant matrices.
首先给出了广义次对角占优矩阵的概念,研究了广义次对角占优矩阵的判定方法,并给出了判断广义次对角占优矩阵的一个充要条件。
3.
In this paper, we point out the relationship between generalized diagonally dominant matrices and generalized subdiagonally dominant matrices, in addition, we give a succinct proof to an equivalence condition of the generalized diagonally dominant matrices.
指出了广义对角占优矩阵与广义次对角占优矩阵之间的关系,对广义对角占优阵和广义次对角占优阵的一个等价条件给出了较简捷的证明方法。
2) 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。
3) generalized strictly sub diagonally dominant matrix
广义严格次对角占优矩阵
4) generalized strictly-subdiagonally dominant matrix
广义严格α-次对角占优矩阵
5) 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。
6) 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。
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