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。
Methods The matrix transformation method and matrix eigenvalue analysis method.
方法矩阵变换与矩阵特征值分析方法。
An elementary reflexive matrix is proposed and its applications to matrix eigenvalue problem are presented.
构造了一个初等自反矩阵并给出了它在特征值计算中的一个应用。
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。
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。
Structured matrices occur in many scientific and engineering applications, and structured matrix eigenvalue problems are widely used.
结构矩阵在很多领域出现，结构矩阵特征值问题有着非常广泛的应用。
The Parameters of a broadband lumped-element circulator are optimized by using the scattering matrix eigenvalue relative to the frequency.
本文从散射矩阵本征值的频率关系出发，对宽带集中元件环行器所需的设计参数作了优化计算。
The superior boundary and below boundary of the real symmetry matrix eigenvalue is estimated based on secondary programming in this paper.
本文给出了实对称矩阵最大与最小特征值的一种估计方法及其应用。
The purpose of this paper is to study the additive perturbation of matrix eigenvalue. Some new absolute and relative perturbation bounds of matrix are obtained.
本篇文章主要研究了矩阵特征值的扰动，并给出了一些矩阵的绝对和相对扰动边界。
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；
The third part (the 6th and 7th chapters) is for a practical application, in which hollow laser beams have been analyzed and designed in terms of the matrix eigenvalue method.
第三部分（第六、七章）根据矩阵本征值方法分析和设计空心激光光束。
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。
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。
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。
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。
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。
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。
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。
It shows that the presented method can be used to identify modal parameters effectively under ambient excitation and that the polynomial eigenvalue method is superior to the augmented matrix method.
结果表明，多参考点互相关差分模型能够有效地进行环境激励下的模态识别，并且多项式特征值法比增广矩阵法所得结果更好。
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。
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。
Presented in this paper are two kinds of approximate computation methods of the matrix maximum eigenvalue.
本文重点给出了两种矩阵最大特征值的近似计算方法。
BERMAN updating arithmetic makes use of experimental model matrix and eigenvalue to modify the finite element academic model, based on the model orthographical condition of non-damping system.
BERMAN修正方法基于无阻尼系统的模态正交条件，利用实验模态矩阵和特征值对有限元理论模型进行修正。
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。
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。
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。
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。
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。
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。
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