We proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.
证明了对每一个四元数矩阵，至少存在一个右特征主值，存在一个属于它的特征向量，并给出了具体的求解方法。
Comparing with the traditional methods, it could hold more information of the original index matrix and had much higher contributing rate of the first principal component.
与传统方法相比，本文方法更为合理地保留了原始指标矩阵中的信息，且第一主成分的贡献率有了显著的提高。
In this paper, based on the correlation matrix analysis of sample data, a principal component analysis method is used.
在本文的模型估计部分，依据样本数据相关矩阵分析结果，采用了样本主成分分析的方法。
Wavelet transform was utilized to get coefficients of each scale. Based the coefficient matrix, principal component analysis model was established to diagnose sensor fault.
利用小波变换得到传感器信号在各个尺度上的系数，然后根据尺度系数矩阵建立主元分析模型进行传感器故障诊断。
The main vibration signals can be obtained by reducing its dimensions through matrix conversion in the principal component analyzed, and realize the analysis to the vibration noise source.
运用主成分分析方法，经过矩阵变换，提取振动信号的主要信息，从而实现对振动噪声源的分析。
The image distribution map is drawn, and the chart coordinates are determined according to principal components load matrix.
绘制意象分布图，并根据主成分载荷矩阵确定图的坐标。
Considering the feature of left matrix fraction description, this article presents a construction method of the stabilization diagram by principal component analysis (PCA).
针对左矩阵分式模型的特点，给出了一种通过主分量分析(PCA)建立稳定图的方法。
The method to calculate principal axes of inertia by adjoint matrix of eigen matrix is given, examples are presented.
本文给出了用特征矩阵的伴随矩阵求惯量主轴的代数方法，并通过实例作了说明。
The principal submatrix of the asymmetrical generalized positive definite matrix is not asymmetrical generalized positive definite matrix in general.
指出非对称广义正定矩阵的主子矩阵一般不是非对称广义正定矩阵。
The second principal effect of aging on the skeletal system is a decrease in the rate of protein formation that results in a decreased ability to produce the organic portion of bone matrix.
第二个主要效果上的老化骨骼系统的发生率下降，其结果在蛋白质形成的生产能力下降的有机部分骨基质。
It is proposed a new topological method of adjacent matrix of esters which was constructed by taking the characteristic value of the pieces of ester compounds as principal diagonal element.
提出了拓扑方法，即考虑分子图顶点的性质，直接用酯类化合物的分子碎片的特征值为主元来构建邻接矩阵。
At last, an algorithm for computing the principal square-rooting matrix is given.
最后还给出了求友循环矩阵主平方根矩阵的算法。
This thesis discusses principal issues of the matrix converter such as prime principle, control strategy, current commutation, its applications etc.
本文立论研究的目的是对矩阵式变换器基本原理、控制策略、开关换流、应用范围等基本性问题进行探索性研究工作。
The results showed why the right principal eigenvector of a judgement matrix can be regarded as the priority vector. Consistency test to a judgement matrix is also discussed.
指出了用判断矩阵的右特征向量作为排序向量的理由，并且还讨论了判断矩阵的一致性检验问题。
The present model, as a simplified, practical but precise method, can simulate foundation stiffness matrix including the principal terms and the cross terms. It is worthy of widely application.
该正交三梁模型可准确模拟基础刚度矩阵的各主元素和交叉项，简单实用，便于结构有限元建模，具有推广价值。
The present model, as a simplified, practical but precise method, can simulate foundation stiffness matrix including the principal terms and the cross terms. It is worthy of widely application.
该正交三梁模型可准确模拟基础刚度矩阵的各主元素和交叉项，简单实用，便于结构有限元建模，具有推广价值。
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