查询词典 rayleigh quotient

In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式环境下计算对称带状广义特征值问题的一种扩展分治算法，给出了特征值分割定理及其证明算法在扩展分治的基础上，利用二分压缩结合广义Rayleigh商迭代计算广义特征对理论分析和数值实验表明，对于窄带宽大规模的广义特征值问题，该分治算法明显优于LAPACK软件包结合并行性好的多分法，在分布式环境下获得了很好的并行效果1 引言本文研究了对称带状广义特征值问题Ax =λBx ( 1)的并行计算，其中，A ，B均为半带宽为r的n阶实对称带状矩阵且其中之一是正定的本文总假设B是正定的求解此问题有两种传统方法，第1种方法是通过计算矩阵B的Cholesky分解，将问题( 1)转化为标准特征值问题[1～3] ，进一步

The steps by the Rayleigh quotient method to obtain the optimal desampling FIR filter are also presented.

推导了信噪比增益与降采样滤波器权系数的关系，给出了采用 Rayleigh 商方法求解给出准则下最优FIR滤波器的方法和步骤。

The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient.

文[2-4]对具有随机参数的结构进行了动力特性分析，其基本作法均是以小参数来描述结构中的随机因素，利用有限元和矩阵摄动方法求解。

Then a fast methodology for calculating the eigenvalues of the structural matrix with interval parameters was put forward, which was based on the Rayleigh quotient and the theories of the interval mathematics.

为提高区间特征值的计算效率，首先分析了区间结构矩阵特征值的设计变量的单调性问题，随后采用区间因子法给出了基于Rayleigh商计算结构广义特征值的一种快速算法。

The relation of the SNR and the coefficients of the filter adopted is deduced. The steps by the Rayleigh quotient method to obtain the optimal desampling FIR filter are also presented.

推导了信噪比增益与降采样滤波器权系数的关系，给出了采用Rayleigh商方法求解给出准则下最优FIR滤波器的方法和步骤。

The use of the rational approximation and the Rayleigh quotient leads to that the quality of power-series expansion is significantly improved and the range of approximation is extended with a few of additional operation counts.

在只增加少许计算量的情况下，利用向量值函数的有理逼近方法以及 Rayleigh 商来改善摄动解的逼近质量并扩大其逼近范围。

Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm γ-2 of state feedback H∞ control is shown to be the fundamental Rayleigh quotient eigen value in structural vibration or Euler stability problems.

文摘：根据结构力学与最优控制的模拟理论，指出状态反馈H∞控制黎卡提方程中的最优参数γ－2，实质上就是结构振动或稳定理论中的瑞利商最小本征值。

According to the analogy between structural mechanics and optimal control, the critical parameter γ-2cr corresponds to the fundamental eigenvalue of a generalized Rayleigh quotient.

按照结构力学与最优控制的模拟关系，Riccati方程解存在的临界参数γ-2cr对应于广义Rayleigh商的一阶本征值。

For the raft, an isoparametric element method and VoigtKelvin model are adopted, which can be used to derive viscoelastic element stiffness matrices, a reform of successive approximation of Rayleigh Quotient is used to solve the eigenvalue problem of the composite structure.

对于筏架结构，采用Voiget-Kelvin模型及等参元法，推导了约束阻尼层单元的刚度阵及将Rayleigh商的迭代步骤加以改进的方法来进行特征分析；对于艇体结构与声学介质耦合部分，采用艇体结构的"干"模态作坐标变换。

The paper proposes the TLS approach that minimizes the two kinds of errors.A Rayleigh Quotient formulation based on regularization is used to enforce a smooth solution.Then a conjugate gradient algorithm is used to minimize the modified RQ function.

该方法能同时最小化这两种误差，采用基于正则化的Rayleigh商来光滑解，用共轭梯度算法来迭代求解该正则化Rayleigh商的最小化函数。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。