查询词典 iterative method for eigenvalue problems

In theory analysis, we give and proof comesponding estimators'approximate theory on basis of eigenvalue method.

在理论分析中，基于特征值法，给出并证明了相应的估计量的逼近理论。

To comparison with weighting method for each missing proportion, we observed presentation of number of factors, eigenvalue, main factor variables, and factor loading.

针对每一种加权方法，以逐笔不同缺失比例，我们将比较不同的加权方法及因子个数、特徵值、因子主要变项、因素负荷的表现。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

A method is presented to identify parameters of dynamic models with the Bayes estimators of measurement frequencies. This is based on the solution of an inverse generalized eigenvalue problem.

将统计分析中的 Bayes 方法应用到参数识别问题中，提出了利用测量频率的 Bayes 估计识别动力学模型的方法，该方法是基于广义逆特征值问题的解。

First, based upon the fields in the single cavities, open and short modes are constructed, whose coupling holes on disks are shorted magnetically and electrically respectively. Second, the whole field in the chain is expanded with the short and open modes. With the Galerkin method and the second vector Green theorem, it is possible to describe the physics problem by a simple general eigenvalue matrix equation. Here, the dispersion curves in periodical structures are available.

它首先利用有限元等方法计算各加速单腔中的电磁场，根据一定规则构造成所需的开模和闭模，然后把整个长腔链加速结构中的场用这些开模和闭模展开，再利用伽略金方法和第二矢量格林定理进行数学变换，考虑各模式在加速腔壁和腔间耦合孔处的边界条件后，就能把加速结构中电磁场用数学上的广义本征值矩阵问题描述，从而能够得到所求的色散曲线和电磁场形态。

The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.

先将结构的声辐射功率表示为一个正定的厄米特二次型，运用广义特徵值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

Unlike the previous method, however, the proposed algorithm obtains the new transformed matrix by taking the conjugate operation to the forward and backward spatial smoothing covariance matrix of the received data, so that the modified covariance differencing matrix which is a Hermitian matrix of zero real part can lower the computation load effectively during the eigenvalue decomposition.

不同于以前的算法，提出的算法通过对接收数据的前后向空间平滑协方差矩阵进行共轭运算得到新的变换矩阵，因此修正后的协方差差分矩阵是个实部为零的厄米特矩阵，从而有效地降低了特征分解过程的计算量。

Recently, the interval analysis method has been used to deal with the static displacement and eigenvalue analysis of the uncertain structures with interval parameters.

最近，区间分析方法被用于具有区间参数的不确定性结构的静态位移和特征值的分析。

The thesis analyzes the methods for parameter estimation of distributed sources in detail, and low complexity estimators, comes up with RELAX in parameter estimation and robust method of high resolution parameter estimators for distributed sources, and gives theory analysis and simulation results. The main work is:1 This text gives a study of the signal models of two kinds of distributed sources: coherent distributed sources and incoherent distributed sources, analyzes eigenvalue distribution of correlation matrix.2 Systematically introduced parameter estimation of distributed sources on the base of models, including the maximum likelihood estimate, least squares estimator, DSPE, DISPARE, etc.

论文详细分析了已有分布式目标参数估计方法及低复杂度的参数估计方法，提出了分布式目标参数估计的RELAX算法和具有稳健性的分布式目标高分辨估计方法，并给出了相应的理论分析和仿真实验结果。

The sensitivity characteristics of the natural vibration frequencies and mode shapes of vibration structures with respect to mass and stiffness modifications are analysed based on the matrix perturbation method of the linear generalized eigenvalue problem.

基于线性广义特征值问题的矩阵摄动重分析公式，较为系统地分析了振动系统各阶固有振频及固有振型随结构质量和刚度的修改的灵敏度特性，得出了一系列具有重要实用意义的结论，指出了对结构进行摄动修改的最灵敏位置。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。