矩阵的秩

Then the rank of strong product graphs is the rank of the adjacency matrix.

H的强积图的秩就是它们的邻接矩阵的秩。

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

Because the rank of the augmented channel matrix is always equal to the number of transmitting antennas, the algorithm can work well in an ill-conditioned channel.

由于扩展信道矩阵的秩等于发射天线数，该算法对信道缺秩的情况不敏感。

Third, by studying structural properties, extended complementary set of a siphonand extended complementary matrix of an ES3PR net, a subclass of Petri nets, arenewly defined.

第三，通过对ES3PR子类的结构分析，提出扩展补集和扩展补集矩阵的概念，同时证明了扩展补集矩阵的秩等于基本信标数目的结论。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

By using block matrix sequence , the equation expression of matrix sum and matrix product sequence is given.

利用分块矩阵的秩给出了矩阵的和与乘积秩的等式表示，作为结论应用，给出了矩阵的和与乘积等运算秩的有关不等式。

The major foundation is that the rank of the matrix should be kept alike after making primary transformation of the matrix consists of transformation of lines and transfortmation of rows,here are mainly the instances of the transformation of lines.

主要依据是矩阵的初等变换在变换前后保持矩阵的秩不变，矩阵的初等变换包括行初等变换和列初等变换。这里主要以行初等变换为例。

Therefore, it is always reasonable that the numerical rank be regarded as the rank of a matrix in the process of numerical computations.

从而在数值计算过程中，认为矩阵的秩就是其数值秩总是合理的。

We also derive the sufficient conditions of robust stability by rank-1 decomposition of the matrix under the assumption that uncertainty is matrix polytope structured uncertainty.

假设不确定性为矩阵多胞形结构不确定性，利用矩阵的秩-1分解，得出系统鲁棒稳定的充分条件。

What is the important aspect about matrix order problem discussing is establishing and certificating theequality of matrix order.

矩阵的秩是矩阵的一个重要的数字特征，建立并证明矩阵秩的等式，是矩阵秩问题讨论的一个重要方面，一般的教材对矩阵秩的性质的证明往往采用极大无关组等方法来证明，但是，一些复杂的矩阵秩的不等式，利用一般的方法很难证明。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。