First, by redefining the within class scatter matrix and the between class scatter matrix, a new null space method was presented.
首先，通过重新定义样本的类内散布矩阵和类间散布矩阵，提出了一种新的零空间法。
According to the field matching theorem, the transmission equation and scatter matrix expressions of the coaxial extractor system with support post are educed in this paper.
本文根据场匹配原理导出了具有支撑杆的同轴提取区系统的传输方程和散射矩阵，并对同轴提取区各部分的微波模式进行了理论分析。
First, an uncorrelated projection space is constructed based on the total population scatter matrix.
首先根据总体散布矩阵构造无相关投影空间。
Then, an image scatter matrix is constructed using the reshaped image matrixes and its eigenvectors are derived for image feature extraction.
该方法先将图像矩阵进行重组，根据重组的图像矩阵构造出总体散布矩阵，然后求出最佳投影向量进行特征提取。
In this paper, the defects of modular 2dpca about computing the total scatter matrix of training samples and selecting eigenvectors are analyzed. An improved modular 2dpca algorithm is presented.
本文分析了模块2dpca在计算训练样本总体散布矩阵和本征向量选取方面的缺陷，提出了一种改进的模块2dpca算法。
Firstly space transform method was used to transform initial kernel between class scatter matrix and kernel total scatter matrix, so the kernel total scatter matrix became positive definition.
利用空间变换的有关理论，使得变换后的核总体散布矩阵满足非奇异性；
The optimal feature vectors are extracted from the null space of intrapersonal locality preserving difference scatter matrix, which avoids the singularity and the SSS problem is solved.
通过在个体类内保局差异散度矩阵的零空间中求最优特征向量，避免了矩阵的奇异性问题，解决了小样本问题。
The optimal feature vectors are extracted from the null space of intrapersonal locality preserving difference scatter matrix, which avoids the singularity and the SSS problem is solved.
通过在个体类内保局差异散度矩阵的零空间中求最优特征向量，避免了矩阵的奇异性问题，解决了小样本问题。
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