列向量

本文论述了两列向量组等价的一些充分必要条件，并应用泛函分析的理论进行分析。

In this paper , some necessary and sufficient condition about the equivalence of two column vector groups has been discussed .

本文在总结各种矩阵链乘积最优次序求解算法的基础上，对于含有行向量或列向量的矩阵链提出了一种0（n）时间最优次序求解算法。

Based on the conclusion about optimal evaluation algorithm of various matrix chain products , an optimal evaluation algorithm is presented which the complexity is O ( n ) to matrix chain containing row or column vector .

A倍的x，当我用一个向量乘以一个矩阵时，我得到了一个列向量的（线性）组合。

A times x , when I multiply a matrix by a vector , I get a combination of the column .

但传统的PCA都以总体散布矩阵作为产生矩阵，并且要将作为图像的矩阵转换为列向量进行计算。

But conventional PCA usually uses total scatter matrix as a generation matrix , and two-dimension ( 2D ) image matrices must be transformed into vectors .

正则矩阵ATA的列向量呈强复共线性（病态）时，将影响参数最小二乘解的质量。

N case of stronger multi-colinearity among column vectors in regular matrix A TA , the quality of the least squares solution will be affected .

分别基于块三对角矩阵的绞形分解、块LU分解和基于用四个分块的列向量表示块逆矩阵三种方法进行了研究，得到三个简单算法。

The investigation is based on three methods : the twisted factorization 、 LU factorization of tridiagonal matrix and expression the block inverse matrix with four block column vectors . And then three simple algorithms are derived .

主要结果是：A在K上具有唯一的行列有限双侧逆方阵当且只当A的各行向量在K上无限线性无关并且各列向量也在K上无限线性无关。

The main result is as follows : A ha an unique row-column - finite inverse on K if and only if the row-vectors of A are infinitely linearly independent on K and also the column-vectors of A are infinitely linearly independent on K.

货币样本组合成的矩阵V经非负分解，分解后的基矩阵W表示货币的局部特征信息，H的列向量可解释为各样本在各局部特征上的权重编码信息。

The matrix V consisted of currency sample is decomposed by NMF , and the base matrix W can be achieved to express the local feature information while the column vector of H can be understood as the weight coded information of samples on corresponding local characteristics .

在分解隶属度矩阵行向量信息与列向量信息的基础上，构建了一种快速评估雷达干扰效果的模型。利用Euclid贴近度原理对雷达干扰资源的分配策略、分配后的干扰效果进行了研究。

Based on decompounding of row vectors and line information , a fast evaluation model of jamming effect is built , and the allocation tactics for radar jamming resources , jamming effect after allocating are studied by using the principle of Euclid close degree .

我把它看成是一个列向量的一个线性组合。

I see this as a linear combination of a column .

关于两列向量组等价的一些注记

Some Notes on the Equivalence of Two Column Vector Groups

它们的矩阵乘积，等于某个已知列向量。

And , their matrix product should be some given column vector .

求出这个列向量后就可以恢复出整个互耦系数矩阵。

The mutual coupling coefficient matrix can be obtained by the line vector .

含有行或列向量的矩阵链乘积最优次序的求解

An optimal evaluation of product on matrix chain containing row or column vector

列向量的诸元素为诸赘余力，可求解方程来得到。

The elements of the vector are the redundants which can be obtained by solving .

取杂交桥函数的列向量作为新的函数序列。

The method is using the column vectors of intercross Bridge function as a new function sequence .

提出了一种新的利用关联矩阵中各物料流列向量间的线性相关关系的数据分类算法：线性相关法。

A new correlative algorithm is proposed for classification by identifying correlation of column vectors of incidence matrix .

这是列向量1，这是列向量2，乘上一些数，相加。

There 's a column 1 and there is column 2 , I multiply by some numbers and I add .

通过列向量的聚类分析，对不同类别用户的访问行为进行探讨。

The different IP users are classified by measuring similarity between column vectors and the browsing behaviour is also discussed .

文章利用矩阵的行向量组和列向量组的极大无关组刻画了矩阵半群中的格林关系。

In this paper , we described the green relations on matrix semigroup through the vector maximal independent subset of matrix .

求出使最优解或最优基保持最优的消耗系数矩阵中列向量和行向量的可变范围。

The variable ranges of vectors in consumption coefficient matrix for which the optimal solution or optimal basis remain invariable are determined .

利用随机产生的行向量和列向量的各分量作为密钥依次对原始图像相应的行和列进行离散分数余弦变换，仿真结果表明经过该方法加密后的图像具有很好的加密效果。

The original image is transformed by the discrete fractional cosine transform with a random row cipher key vector and a random column key vector successively .

该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；

By using the elementary row transformation in the controllable matrix , the input matrix is replaced by the maximally linear independent set of its column vectors .

然后，对所建立关联矩阵的列向量或行向量进行相似性度量，获得相似客户群体或相关页面。

Then , similar customer groups or relevant Web pages were obtained by measuring the similarity between column vectors or between row vectors of the associated matrix .

该算法直接利用图像的灰度矩阵进行运算，考虑了列向量像素点之间的关系，利用洛伦兹流形建模，保持了图像的结构信息。

It explicitly uses the relationship between pixels from column vectors and row vectors of the image matrix . Hence , structure information of image is used for computing .

第一种是基于功率谱密度的源数估计法，它主要是通过聚类观测信号的功率谱密度矩阵的列向量来估计源数。

One is the method based on PSD , namely , through clustering the column vector of PSD matrix for observation signals , the number of sources is estimated .

在一定条件下简单有向图的完全关联矩阵中列向量线性相关时，它们对应的边构成回路。

In some condition , if column vectors in a complete incidence matrix are not linearly independent , these sides which are denoted by the column vectors formed a circuit .

本文第一部分使列向量逻辑和的运算与齐次马氏链的概率转移相联系；

The first part of the paper deals with the connections between the calculations of the logical sum of column vectors and the transition of probabilities of a homogeneous Markov Chains .

然后，对互耦系数矩阵进行变换，进而用一个列向量表示出互耦系数矩阵中的全部独立元素；

In accordance with transform formula between mutual coupling coefficient matrix and perfect array steering vector , the independent elements in mutual coupling coefficient matrix can be expressed as a column vector .

本文剖析了线性代数中伴随矩阵、行向量与列向量的乘积、正交矩阵几个较难掌握的概念，由此引出这些概念的一些基本特征和性质。

This article analyzes a few profound concepts , such as companion matrix , line vector , column rector , orthogonal matrix , and recommend many qualities , which are difficult to grasp for many students .