Including the calculation of matrix eigenvalue problem, error and so on.
其中包括计算矩阵的特征值问题，误差问题等。
The eigenvalue of covariance matrix can be used to separate signal from noise.
利用协方差矩阵的特征值。能实现信号和噪声的分解。
Matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix.
矩阵迭代法是求矩阵的第一阶特征值与特征向量的一种数值方法。
Then, a transverse scattering matrix approach based on mode matching technique is used to analyze the eigenvalue problem of microstrip guiding wave structures.
然后，采用一种基于模匹配过程的横向散射矩阵方法，系统分析了微带导波结构的特征值问题。
This paper indicated that the sequence of approximate value of eigenvalue is monotone convergent in the iteration process of matrix iteration method. And also gave examples.
本文指出，在矩阵迭代法的迭代过程中，特征值近似值序列是单调收敛的，并给出计算实例。
A new test signal method based approach to design power oscillation damping (POD) controller for TCSC is proposed, by which the bulky eigenvalue calculation of state matrix can be avoided.
提出了一种基于测试信号法的TCSC功率振荡阻尼(POD)控制器的设计方法，避免了计算量庞大的状态矩阵特征值计算。
Based on the eigenvalue decomposition of the converted measurement error covariance matrix, asymptotic behavior was given about the converted position measurement error.
基于转换测量误差协方差矩阵的特征值分解，给出了转换位置测量的时间渐近特性。
In this paper, backward errors for seven kinds of structured unitary matrix eigenvalue problems are discussed.
本文讨论了七类结构酉矩阵特征值问题的向后误差。
For the stochastic system of the dynamic equation and the kinematic constraint, the upper and lower bounds on its information matrix are given, via eigenvalue analysis.
针对运动约束与运动方程构成的系统，利用特征值分析方法给出了其信息矩阵的上下界限。
In this paper, we study the existence for right eigenvalue of quaternion matrix.
本文讨论四元数矩阵右特征值的存在性问题。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
There are all kinds of inverse eigenvalue and generalized inverse eigenvalue problems in the fields of structural design, vibration system, automation control and matrix decision etc.
在结构设计、振动系统、自动控制、矩阵对策等领域中存在各种各样的矩阵逆特征值问题及广义逆特征值问题。
One of well-known results is that the greatest eigenvalue of a nonnegative matrix lies between the smallest and the largest row sum.
一个著名的结果是一个非负矩阵的最大特征值在它的最小行和与最大行和之间。
A new method for human face image scale and direction estimation is proposed using covariance matrix eigenvalue and eigenvector of edge set, which is proved by theory and experiments.
提出了利用边缘点集的协方差矩阵的特征值与特征矢量作为人脸图像尺度与方向的粗估计方法，从理论和实验上证明了该方法的可行性。
Spectral theory is an important branch of functional analysis in modern times the operator spectra projected from matrix eigenvalue.
谱论是泛函分析的一个近代重要分支，由矩阵特征值构思出算子的谱。
This paper mainly discusses the formulation and the numerical methods of real symmetrical matrix inverse algebraic eigenvalue.
本文主要讨论含参变量的实对称矩阵特征值反问题数值解法。
The structural performances are evaluated from the condition number (CN) of equilibrium matrix, and CN and minimum eigenvalue of stiffness matrix.
根据平衡矩阵的条件数和刚度矩阵的条件数与最小特征值，评价基本单元的结构特征。
If only the eigenvalue of a and not the eigenfunctions are desired, it is not necessary, according to Section 3. 3, to obtain the transformation matrix s.
假如仅需求出a的本征值而不要求出本征函数，那么按照本章第3.3节，就不必求出变换矩阵s。
This thesis construct an characteristic-like function and find a special matrix, transforming BSS into eigenvalue decomposing problems to solve a class problem of linear mixture.
本文构造了一个类特征函数，找寻了一个特殊矩阵，将BSS问题转化为此矩阵的特征值分解问题，解决了一类线性瞬时混合盲分离问题。 匆。
Power Method is the conventional way for finding the greatest eigenvalue and the greatest eigenvector of a matrix.
幂法是求矩阵最大特征值及最大特征向量的经典方法。
The main work of this dissertation focuses on the analysis and design theory for a resonator with diffraction optical elements by using a matrix eigenvalue method.
本文的重点是：阐述了利用矩阵本征值方法分析和设计激光谐振腔的系统理论；
When the minimal eigenvalue of connection weights matrix is greater than the reciprocal of derivation of its neuron activation function, the network will be convergent in parallel update mode.
当网络连接权值矩阵的最小特征值大于激活函数导数的倒数时，网络并行收敛。
Where EVM is the sum of eigenvalue of bonding orbital-connection matrix of the alkyl group and PEI is the polarizibility of alkyl.
EVM为醇中烷基的键连接矩阵特征根之和，PEI为烷基的极化效应指数。
In this paper, an inversion and Eigenvalue problem of a matrix are studied, and a formula of matrix inversion which is much simpler than the existing methods is put out.
本文对一类特殊矩阵的逆矩阵和特征值问题进行了研究，并得出了一个求该类矩阵的逆的一个公式，用该公式求这类矩阵的逆比用现有的方法要简单的多。
New formulations are on the basis of the theory of the bifurcation and the Jacobi matrix eigenvalue structure analysis incorporating the margin and state index of the voltage stability.
这个模型以电压稳定分析的特征结构分析法和分岔分析法为理论基础，把电压稳定的裕度指标和状态指标相结合加入了无功优化中。
As for computing the largest eigenvalue and its eigenvector of a higher-order real symmetric matrix in the algorithm, the power method is used.
对于算法中涉及的求高阶实对称阵的最大特征值及其特征向量，采用幂法加以实现。
This paper presents a direct solution to the left eigenvector of the asymmetrical matrix under the condition that the eigenvalue and the right eigenvector are known.
本文在特征值及右特征向量均为已知的条件下，提出一种直接求解左特征向量的方法。
In this paper, we consider the best approximation of a matrix under a given linear restriction with some fixed elements. This result can be apply to solving a class matrix inverse eigenvalue problem.
本文研究具有某些固定元素的矩阵在线性约束下的最佳逼近，其结果可以用于解一类矩阵反特征值问题。
Introduces the two-eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix.
介绍了对称矩阵的两特征值问题，并给出了计算公式。
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