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特征向量导数
相关语句
  eigenvector derivative
     Unified iterative method for eigenvector derivative computation
     重根特征向量导数的统一迭代法
短句来源
     The iterative method for minimum-norm solution of (1) overdetermined linear equations (2) eigenvector derivative calculation and (3) ill-conditioned positive definite linear equations are presented as application examples.
     作为应用,给出了求超定线性方程组极小最小二乘解的迭代算法、特征向量导数计算的迭代算法和对于病态正定线性方程组。
短句来源
     Theoretical development and computersimulations show that only few modes are the required and,therefore the efficency can be greatly increasedwith the same accuracy in eigenvector derivative calculation by shifted-iterative modal method.
     理论分析与计算机仿真表明,本方法计算特征向量导数时,只需用很少几个模态即能保证精度,从而可以在保证精度的条件下大大提高计算速度。
短句来源
     As with another dynamic flexibility method developed by the author,the higher precision dynamic flexibility method is not suitable to the calculation of eigenvector derivative with concentrated eigenvalue.
     这种方法与作者建立的一般动柔度法一样 ,不能用于密集根之特征向量导数的计算。
短句来源
     In the field of eigenvector derivative computation to find an unique general solution from infinite particular solutions,the distinct Conditions of Determining Solution(CDS)were proposed,so that different general solutions were obtained.
     在重根特征向量导数计算方法的发展中 ,为了从无限个特解中确定出唯一的通解 ,提出过不同定解条件 ,但正确定解条件是唯一的。
短句来源
  eigenvector derivatives
     This paper presents a new method for computing eigenvector derivatives of repeated eigenvalues,which improved the method proposed by Ojalvo[3],Mills Curran[4],Dailey[5],and Shaw and Jayasuriya[6].
     提出了一个计算重特征值特征向量导数的新方法,它改进了Ojalvo[3]、MillsCurran[4]、Dailey[5]、Shaw和Jayasuriya[6]等人的方法。
短句来源
     Improved Direct Perturbed Methods For Calculation of Eigenvector Derivatives
     特征向量导数计算的改进直接扰动法
短句来源
     DIRECT PERTURBATION METHODS FOR CALCULATION OF EIGENVECTOR DERIVATIVES WITH REPEATED EIGENVALUES
     重根特征向量导数计算的直接扰动法
短句来源
     To compute many eigenvector derivatives,the author proposed a higher precision dynamic flexibility method.
     作者曾为许多特征向量导数计算 ,提出过一种介于直接法 (指直接求解线代方程组的 ,以Nelson为代表的一类方法 )和模态法之间的高精度动柔度法。
短句来源
     CALCULATION METHOD FOR EIGENVECTOR DERIVATIVES WITH REPEATED EJGENVALUES
     对应重特征值的特征向量导数的计算方法
短句来源
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  “特征向量导数”译为未确定词的双语例句
     The Lanczos method in the calculation of eigenvectors derivatives
     特征向量导数计算的Lanczos方法
短句来源
     In this paper, the Lanczos method in the calculation of eigenvectors derivatives is improved. The frequency shift method in initial vector selection is introduced.
     本文对特征向量导数计算的Lanczos法进行了改进,指出Lanczos法对方程的缩阶效率取决于初始向量的选择,介绍了Lanczos方法的发展,提出采用频率移位法选择初始Lanczos向量。
短句来源
     HT5SS]When two dynamic flexibility formulae proposed early by author are used in the analysis of eigen derivative for free structure with rigid\|body motion, the coefficient matrix of governing equation for solving matrices A\-0, A\-1,… to be determined in the power series is singular stiffness matrix K.
     本文针对作者过去建立的两种动柔度混合幂级数用于自由结构的很多特征向量导数计算时 ,求解待定矩阵 A0 ,A1…的支配方程的系数阵为奇异刚度阵 K。
短句来源
     The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
     本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解 .
短句来源
     An Improved Direct Perturbed-method (IDP ) has been developed here.
     本文对特征向量导数计算的一种“直接扰动法”进行了改进,使之精度进一步提高。
短句来源
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  eigenvector derivatives
A family of modal methods for computing eigenvector derivatives with repeated roots
      
A family of modal methods for computing eigenvector derivatives with repeated roots are directly derived from the constraint generalized inverse technique which is originally formulated by Wang and Hu.
      
At the same time the described procedure allows the computation of eigenvalue and eigenvector derivatives with respect to a set of parameters.
      
Expressions for eigenvalue and eigenvector derivatives were used to compute the rate of change of the PCs.
      


An extention of the extrapolation algorithm is proposed for computing derivatives of eigenvalues and eigenvectors of parameter-dependent mattrices. The numerical results show the computational algorithm is workable in the presence of roundoff, and even for subdominant eigenvalues.

给出计算参数矩阵特征值和特征向量导数的外推算法.数值结果检验了在有舍入误差时,甚至对于次主特征值此方法都是可行的.

An Improved Direct Perturbed-method (IDP ) has been developed here. From mathematically deriving and numerical results it is shown that DP approaches the accurate solution only in O(ε) and IDP approaches the accurate one in O(ε2). However the computation of DP is simpler than one of IDP.

本文对特征向量导数计算的一种“直接扰动法”进行了改进,使之精度进一步提高。本文不仅从理论上,而且算例结果也证实了这种改进是合理而有效的。

A short review of some methods for calculating eigenvector derivatives is presented in this paper, in which the Fox-method (and improved Fox-method), Nelson-method (and improved Nelson-method), Fox's modal method, and currently advanced complete modal method as well as matrix perturbation method are concerned with. Based on the review, an improved modal method is proposed in the paper. This method possesses some merits, such as that it can make use of banded-state property of coefficient matrix in the governing...

A short review of some methods for calculating eigenvector derivatives is presented in this paper, in which the Fox-method (and improved Fox-method), Nelson-method (and improved Nelson-method), Fox's modal method, and currently advanced complete modal method as well as matrix perturbation method are concerned with. Based on the review, an improved modal method is proposed in the paper. This method possesses some merits, such as that it can make use of banded-state property of coefficient matrix in the governing equation for eigenvector derivatives to increase the efficiency of computation and needs only the modes corresponding to the eigenvalue under consideration. The present method has some formats, but only a principal format, which possesses much better precision, is described in the paper. Finally it is pointed out that the improved modal method reveals the inner relationship between Nelson-method and modal method.

特征向量导数计算的若干方法作了简短地评述,同时提出了一种改进模态法。这种方法具备Nelson法、改进Nelson法和直接扰动法的优点。该方法还可以具有多种形式,但本文仅介绍了一种同于直接扰动法的主要形式,这也是精度最好的一种形式。

 
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