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1)  subdiagonally dominant matrices
次对角占优矩阵
1.
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。
2.
The concept of generalized subdiagonally dominant matrices and bisubdiagonally dominant matrices and bisubdiagonally dominant matrices with nonzero elements chain are introduced,and the relations between the matrices and subdiagonally dominant matrices with nonzero elements chain as well as generalized subdiagonally dominant matrices are studied.
引入广义次对角占优矩阵 ,双次对角占优矩阵及具有非零元素链双次对角占优矩阵的概念 ,讨论具有非零元素链双次对角占优矩阵的性质及其与具非零元素链次对角占优矩阵、广义次对角占优矩阵的关
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)  local double sub-diagonally dominant matrices
局部双次对角占优矩阵
4)  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。
5)  strictly subdiagonally dominant matrices
严格次对角占优矩阵
6)  bisubdiagonally dominant matrices
双次对角占优矩阵
1.
The concept of generalized subdiagonally dominant matrices and bisubdiagonally dominant matrices and bisubdiagonally dominant matrices with nonzero elements chain are introduced,and the relations between the matrices and subdiagonally dominant matrices with nonzero elements chain as well as generalized subdiagonally dominant matrices are studied.
引入广义次对角占优矩阵 ,双次对角占优矩阵及具有非零元素链双次对角占优矩阵的概念 ,讨论具有非零元素链双次对角占优矩阵的性质及其与具非零元素链次对角占优矩阵、广义次对角占优矩阵的关
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
  
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