查询词典 positive definite eigenvalue problem

We then diagonalize the matrix C and obtain the eigenvalue spectrum and eigenvectors. The large eigenvalues which go beyond the upper bound of the random matrix, i.e., the Wishart matrix, reflect the local correlations between stocks. The largest eigenvalue corresponds to the market mode, and next large eigenvalues represent the interactions between stocks in a same sector.

进一步，通过对角化，我们得到矩阵C的特征值谱和特征向量，超过随机的Wishart矩阵特征值谱上边界的特征值反映了股票间的局域关联，其中最大的特征值对应于市场模式，其余的次大特征值代表了同一板块内股票间的相互作用。

This thesis analyzes the energy eigenvalue and of the Harmonic oscillator with a one-dimensional δ-function, makes a comparative study of those of the one-dimensional harmonic oscillator, and analyzes the reason which causes their different quality and the different influences to the eigenvalue of the even parity energy and to the wave function when the number of the "Z" is different.

本文研究了一维δ势场中的谐振子的能量本征值及其本征波函数，并与一维谐振子的能量本征值和波函数进行了比较，分析了它们的性质不同的原因以及取不同势参数Z值时对偶宇称能量本征值和波函数的不同影响。

There are all kinds of inverse eigenvalue and generalized inverse eigenvalue problems in the fields of structural design, vibration system, automation control and matrix decision etc.

在结构设计、振动系统、自动控制、矩阵对策等领域中存在各种各样的矩阵逆特征值问题及广义逆特征值问题。

Firstly, we give a new upper bound of a mixed graph′s largest Laplacian eigenvalue, which is more precise. And also we give a lower bound of a mixed connected graph′s largest Laplacian eigenvalue.

首先给出了混合图的最大Laplace特征值的一个新的上界，并且用实例说明我们的结果与以往结果相比更精确，同时也给出了一个连通混合图的最大Laplace特征值的一个新的下界。

To find some useful eigenvalue in time series by mining the distributing values of original series, and deduce a collection of candidate slide-window size, find the optimal slide window size by adapting to the series eigenvalue variable motion movement.

通过对时序特征值分布函数挖掘，发现时间序列中的有效特征点，进而确定一组合适的滑动窗口宽度；最后根据序列的变化情况来决定最优的滑动窗口宽度，对原数据维度进行简约。

Under the condition of knowing zero eigenvalue algebraic multiplication ,the authors have discussed the use and necessary relationship between matrix zero eigenvalue algebraic multiplication and matrix rank.

在已知零特征值代数重数时，给出了矩阵零特征值代数重数与矩阵秩之间的内在必然联系，及其一般应用。

After picking up eigenvalue, it is proved that the result is unanimous basically with the data of the relevant materials; The other is to control artificial hand by the eigenvalue of the myoelectric signal and at last the system gets very good control results.

利用电路设计的相关知识对控制电路进行了设计，并取得了很好的控制效果。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

The eigenvalue equation for the cladding modes of the metal-coated fiber is obtained and the method of solving the complex eigenvalue equation is presented.

分析了金属包层光纤的特点，给出了金属包层光纤包层模的本征方程，并给出了这一复本征方程的求解方法。

With the increase of vibration frequency, the variation process of Jacobi matrix eigenvalue was calculated. According to the position of eigenvalue crossing the unit circle in the complex plane, the stability of fixed point of the map was discussed and the route from periodic motion to chaos via period-doubling bifurcation was received.

以振动频率为控制参数，计算得到映射Jacobi矩阵特征值的变化曲线，根据其穿越复平面单位圆的位置，分析了映射不动点的稳定性，获得了碰撞运动通过典型的倍周期分岔通向混沌的过程。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！