方法矩阵变换与矩阵特征值分析方法。
Methods The matrix transformation method and matrix eigenvalue analysis method.
本文讨论了七类结构酉矩阵特征值问题的向后误差。
In this paper, backward errors for seven kinds of structured unitary matrix eigenvalue problems are discussed.
提出了一种基于进化策略求解矩阵特征值及特征向量方法。
In this paper, a new Evolution Strategy method for solving matrix eigenvalues and eigenvectors was proposed.
提出了一种用于对称区间矩阵特征值问题求解的直接优化法。
A direct optimization method is presented in the paper for solving eigen problems of interval matrices.
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。
This paper mainly discusses the formulation and the numerical methods of real symmetrical matrix inverse algebraic eigenvalue.
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。
Structured matrices occur in many scientific and engineering applications, and structured matrix eigenvalue problems are widely used.
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。
Spectral theory is an important branch of functional analysis in modern times the operator spectra projected from matrix eigenvalue.
讨论了正则竞赛矩阵的性质，给出了正则循环竞赛矩阵特征值的一般求法。
In this paper, We obtain some properties of regular tournament matrices, and give the eigenvalue of regular circulant tournament matrices.
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 purpose of this paper is to study the additive perturbation of matrix eigenvalue. Some new absolute and relative perturbation bounds of matrix are obtained.
基于线性代数与矩阵理论，给出利用LDLT分解计算实对称矩阵特征值的递归算法。
A recursive algorithm for calculating the eigenvalues of a real symmetric matrix based on LDLT decomposition is given.
研究了图的正规拉普拉斯矩阵特征值与图的坚韧度，并给出了它们之间的不等式关系。
In this paper, the eigenvalues of the normalized Laplacian and the toughness of graphs are studied and the relation of inequality between of them is given.
通过对细分矩阵特征值的理论分析，证明了文中方法的细分极限曲面收敛且切平面连续。
We deduce the eigenvalues of 2-neighbors subdivision matrix of the scheme, and prove that the subdivision surface is convergent, and has property of tangent plane continuity.
运用矩阵理论的圆盘定理，讨论了区间矩阵特征值的包含区域，得出了拟圆盘定理并讨论了稳定性。
By using Gerschgorin Theorem, the inclusion regions of an interval matrix and their applications are discussed in this paper.
作为多元凸函数的控制不等式在矩阵方面的初步应用，获得了矩阵特征值和奇异值的简洁的控制不等式。
As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.
已往有关这方面的结论，因求解大型矩阵特征值比较困难，一直未能给出有直接指导意义的稳定性临界公式。
There is no significant critical formula of stability in the previous literatures of the field because it is quite difficult to solve for the.
变换域LMS算法能通过正交变换有效降低输入信号自相关矩阵特征值的分散程度，可提高算法的收敛速度；
The transform domain LMS algorithm can reduce the cross-correlation of input signals effectively through orthogonal transforms, so the convergence rate will be improved;
本文阐述了琼斯矩阵特征值法测量PMD的原理，介绍了基于琼斯矩阵特征值法开发的PMD测量系统和测量试验。
The principle of Jones Matrix Eigenanalysis Method for measuring PMD is illustrated in this paper, and an automated measuring system based on it is introduced, with some experimental results.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。
In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
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。
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.
针对约束矩阵具有与其所对应的零陷个数相同数量的大特征值的性质，应用盖氏圆盘定理比较精确地估计一个零陷情况下约束矩阵特征值的界。
The character of the eigenvalues of the constraint matrix was aimed, and the character is that the matrix has the same number of larger eigenvalues as number of the nulls that the matrix denoted.
例如，它没有返回矩阵的特征值的函数。
For example, no function returns the eigenvalues of a matrix.
其中包括计算矩阵的特征值问题，误差问题等。
Including the calculation of matrix eigenvalue problem, error and so on.
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。
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.
本文主要讨论了两类结构矩阵的逆特征值问题。
In this paper, two kinds of structure inverse eigenvalue problems are discussed.
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。
Matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix.
利用协方差矩阵的特征值。能实现信号和噪声的分解。
The eigenvalue of covariance matrix can be used to separate signal from noise.
通过对相关矩阵进行特征值分解，估计信号子空间和噪声子空间，并利用MU S IC算法估计宽带LF M信号的波达方向。
Through estimating the signal and noise subspaces with the eigen-decomposition of the correlation matrix, the MUSIC algorithm is used to estimate the DOAs of LFM sources.
本文讨论四元数矩阵右特征值的存在性问题。
In this paper, we study the existence for right eigenvalue of quaternion matrix.
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。
Based on the eigenvalue decomposition of the converted measurement error covariance matrix, asymptotic behavior was given about the converted position measurement error.
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