查询词典 iterative method for eigenvalue problems

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。

The contribution of the truncated modes to eigenvector sensitivity is expressed in a Neumann series of matrix in this method, and eigenvalue's displacement is introduced to control the convergence of the series.

该方法是用Neumann矩阵级数的形式来等效未知模态对特征向量灵敏度的贡献，并引入特征值移位量来控制矩阵级数的收敛性，从而明显地提高了计算效率。

The records of 56 stations in Himalaya area were analyzed by using the method of minimizing the eigenvalue. Shear wave splitting was observed in thirty-nine stations of them.

利用最小特征值法，分析了喜马拉雅地区56个台站的地震记录，其中有39个台站能观察到S波分裂，其平均分裂时间在0.8s左右。

The paper first studies the primary analyse method of static voltage stability problem such as continuous power flow, sensitivity analysis and eigenvalue structure analysis.

本文首先对静态电压稳定性的主要分析方法如连续潮流法、灵敏度分析法和特征结构分析法进行研究，介绍了它们各自的原理、特点以及在电压稳定分析中的作用。

SVD is the general method for linear decomposition of a matrix into independent principal components, and is a form of Eigenvalue-Eigenvector analysis or principal components decomposition and, in a more general sense, of multi-dimensional scaling.

SVD分解根据矩阵的运算计算出矩阵的奇异值，然后根据奇异值计算出矩阵的两个奇异矩阵，将矩阵分解为三个矩阵的乘积形式。

Methods Using lower-upper solution method, principal eigenvalue theory, the maximum principle and the index of fixed point of compact map in cone.

上下解方法，特征值理论，极值原理，计算锥映像不动点指数。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。