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。

Due to no channel estimation required for rayleigh fading channel, quotient coded QAM has lower receiver complexity.

商分编码QAM由于无需信道估计和均衡，因此降低了在瑞利衰落信道解调的复杂性。

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。

Combining Rayleigh quotient of the stiffness matrix, the paper defined the index K used to estimate the mechanism stiffness, and plotted spatial graph of the stiffness performance.

结合刚度矩阵的瑞利商定义了刚度判定指标K，绘制出刚度性能空间图，进一步研究了操作端方向的刚度特性。

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。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。