查询词典 invariant subspace

In this design, the dimension M of the memory vector field may be not necessarily equal to the dimension N of the network vector field. This may be the usually case in applications. Designing a network with either static or oscillating behavior, after analysing the dynamical. behavior of its four-dimension subspace, we get 2-torus in the subspace. If we vary the ratio of the imagine parts of the complex conjugate eigenvalues, the periodic motion of all kinds of period ratio on 2-torus are obtained.

设计一个既具有静态平衡点又具有动态振荡的网络，其静态平衡点由多余维叉形分叉得到，动态振荡形式由多余维Hopf分叉得到，通过对其中一个具有振荡行为的四维子空间的进一步分析，可以得到网络在四维子空间中的二环面运动，适当调整约当形中共轭复特征根虚部的比值，可以得到各种周期比的二环面上的周期运动。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

The generalized minimal error method for solving large linear systems minimizes the Euclidean norm of the error in the related generalized Krylov subspace, and is one of Krylov subspace methods for solving large linear system Ax = b.

广义最小误差方法是求解大型线性方程组Ax = b的一个Krylov子空间方法，使误差范数在Krylov子空间上达到最小，。

In SLDMINV the invariance of the Krylov subspace is invoked, making the main computation reduced into almost real arithmetic, and thus lowering the computation amount markedly. In the meantime, the iteration is performed in the Krylov subspace generated from the inverse of the coefficient matrix and so the convergent speed is enhanced greatly, leading to two orders of the magnitude improvement over standard SLDM.

SLDMINV中运用了Krylov子空间不变性技巧，这使得计算基本化为实运算，显著降低了计算量；同时在由系数矩阵的逆构成的子空间上进行迭代，收敛速度大大加快，较之SLDM提高两个量级。

The key technique in the MUSIC algorithm is the signal subspace extraction which can be found from the eigen decomposition of the sample covariance matrix of the antenna receive signal. The eigen value decomposition of a Hermitian matrix is implemented by using the QR algorithm, and the signal subspace is constituted by collecting the significant eigen vectors.

在复合信号分类演算法中的重要关键为信号子空间与杂讯子空间的分解，这两个子空间可以利用对天线收到信号的取样共变异矩阵做特徵值分解中求出，本篇并以QR演算法实现厄米特矩阵之特徵值分解，信号子空间便是由分解后的特徵向量所集合而成。

To detect more targets, the whitened data Z are projected onto the orthogonal subspace of w using the orthogonal subspace projector P⊥= W I .W.1WT, to eliminate the detected target, where I is an L×L identity matrix and W =.

为了要发现较多的目标，被数据白的 Z 被在 w 的直角次空间之上使用直角的次空间投光器 P 第一⊥= W 计画。W。，除去那发现了我是 L × L 身份点阵式和 W=的目标。

According the characteristics of multivariable linear system, time-varying subspace identification method is studied, extending the ordinary subspace identification to the time-varying case.

定常系统的子空间方法利用SVD方法定阶，具有数值稳定的特点，但用于时变系统的辨识将导致大量的数值运算。

In this paper, we present an analysis of quotient image method from the view of image linear subspace, and point out its main deficien- cies: 1 inaccurate assumption of ideal class of object, 2 3-d subspace doesnt suffix to represent all images of an object under varying illuminations.

在本文中，我们从图像子空间的角度对商图像方法进行了分析，理论分析和实验表明，这种方法存在的主要缺点有：1不准确的理想类假设；2简单的三维点光源模型无法很好地近似任意光照情况。

In subspace projecting point of view, chapter 8 considered a transient detecting scheme base upon matching projecting on the linear time-frequency subspace of observing space, and gave a fast implementation way of matching filter for two type of signals, together with its performance analysis.

第八章从子空间匹配投影的角度研究了一种基于线性时频变换信号子空间匹配投影的暂态信号检测方案，推导了线性时频域上两种信号的匹配检测器的快速实现形式并进行了性能分析。

When the number of facial feature dimensions is much larger than the number of face samples, the subspace learned from the common linear subspace is not smooth and sparse solutions can not be obtained.

当人脸特征维数远远大于样本数目时，一般线性子空间方法学习得到的嵌入子空间非光滑且不能获得稀疏解。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。