系数矩阵

Paper studies the practical stability of electricity market models by tools, for example, the appropriate structure Lyapunov functions, Cauchy matrix, the matrix measure, constant variation. Judging practical stability sufficient conditions and estimating formula of ultimate convergence boundary are provided. Conditions are descriptive by coefficients of models. At the same time, paper studies the Lyapunov stability of the electricity market. As well as the sufficient conditions of judging electricity market Lyapunov stability are provided. Some of conclusions improved the results of Alvarado and others. The conclusion of Lyapunov stability has made a comparative with practical results.

首次将实用稳定性理论和方法应用于电力市场稳定性的研究中，借助于构造合适的Lyapunov函数、柯西矩阵、矩阵测度、常数变易法等工具，系统研究了所建电力市场模型的实用稳定性，得到了用模型的系数来描述其实用稳定性的一系列判定条件和最终收敛边界的估计公式；同时对电力市场的Lyapunov稳定性进行了研究，得到了电力市场稳定性的若干判据，部分结论改进了Alvarado等人的结果；随后将Lyapunov稳定的结果与实用稳定进行了比较。

In the fifth chapter, we propose the conditional generalized ridge-type estimator of regression coefficient in restricted linear regression model, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares error and mean squares error matrix, we also give the choice of parameters matrix K.

第五章给出了约束线性回归模型中回归系数的条件广义岭估计，讨论了它的优良性，证明了它在均方误差及均方误差矩阵下都优于约束最小二乘估计，并给出了参数矩阵K的选择。

Firstly, the decision matrix is transformed into an objective matrix, and then the weight of every objective is determined by means of entropy coefficient method. By Integration of experts' knowledge, the acceptable lower bound of degree of satisfaction and acceptable upper one of degree of dissatisfaction of every objective are decided. At last, by using the weight vector and the acceptable lower boun...

首先将决策矩阵转化为目标矩阵，然后利用熵权系数法计算各个目标的权重，综合专家的意见得到对于每个目标可以接受的满意度的下界和不满意度的上界，最后利用得到的权重向量以及得到的满意度的下界和不满意度的上界计算各方案的vague估计值，将得到的vague估计值按照评分函数进行排序，得到方案的排序结果。

A new fast algorithm of the minimal norm least squares solution for the linear system whose coefficient matrix is an m×n Loewner-type matrix with full column rank is given by forming a special block matrix and researching its triangular factorization.

通过构造特殊分块矩阵及其三角分解给出了求秩为n的m×n阶Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

Based on the classic composites laminates theory,the stiffness matrix and the equivalent damping matrix of the laminates which can be described by elastic constants and damping constants were determined.

根据经典层板理论分别推导出了显含弹性常数和显含阻尼系数的纤维增强复合材料层板的刚度矩阵和等效阻尼矩阵。

First,the feature subspaces are formed from different pose images using ICA and PCA.Then the pose image is transformed into its corresponding frontal face image using the transformation matrix predetermined by learning.Based on this foundation,the wavelet transform is applied to face images,and the authors compare the frontal face feature coefficients directly which are obtained by using the transformation matrix with the feature coefficients of the original face images,the recognition rate is improved greatly.

首先利用ICA和PCA提取不同姿态人脸的特征子空间，然后利用通过训练得到的姿态转换矩阵合成其相对应的正面人脸图像，实验表明ICA人脸识别算法要优于PCA人脸识别算法，并在此基础上用小波对人脸图像进行预处理，据姿态转换矩阵得到的正面人脸特征系数直接进行分类比较，识别率得到了很大的提高。

An n×n sign pattern A is a spectrally arbitrary pattern if for any given real monic polynomial f of degree n, there is a real matrix B∈Q and B has characteristic polynomial f.

设A为n阶符号模式矩阵，若对任意给定的一个n次首1实系数多项式f，都存在一个实矩阵B∈Q，使得B的特征多项式为f，则称A为谱任意符号模式。

The Neumann boundary value prob-lem is firstly reduced into the equivalent natural boundary integral equation withthe kernel possessing 2nd-order singularity,and then the corresponding variationalproblem on the boundary is obtained.By applying Quak trigonometric wavelet basisBjsee(1.2.3as boundary elements and the method of expanding kernel functionto its Galerkin discretization,we obtain simple computational formulae of the en-tries in the stiffness matrix.

首先，我们将Neumann边值问题归化为等价的带有2阶强奇性核的自然边界积分方程，然后化为边界上相应的变分形式，以Hermite插值Quak三角小波基Bj见(1.2.3作为边界元并利用积分核函数展开法将其离散，得到了十分简单的刚度矩阵系数的计算公式，而且刚度矩阵具有十分简单的形式，它是分块循环对角阵。

Noll. From the irradiance distribution in two defocal planes, one in front of focal plane and the other behind, with a given detector array the elements of response matrix for each normalized term of Zernike polynomials can be obtained. For an incoming atmospheric disturbed random wavefront, with its irradiance distribution detected in two defocal planes and the response matrix, it is easy to solve the corresponding Zernike term coefficients of incoming wavefront and reconstruct the detected one.

Noll建议的Zernike多项式表征经大气扰动的入瞳处的光学波前畸变；求出由两个离焦面上的光强分布决定的归一化Zernike项在特定形状的探测器上的响应矩阵；由响应矩阵和入瞳处的波前在两个离焦面上的光强分布，求出其Zernike项的系数，从而实现波前的探测和重构。

Then, base on the equivalent circuit model for cascaded coupled resonator filter, the method for measuring or computing the phase of the reflection coefficient of short-circuit terminated networks and synthesizeing all the inter-resonator couplings and resonant frequencies of the filters to be tuned is studied intensively. The phase loading effect is removed and the tuning steps are analyzed. The method based on the partial fraction expansions of admittance matrix is used to synthesize coupling matrix of the filters under tuning.

然后，通过分析级联耦合滤波器的等效电路模型，着重研究了利用测量或计算终端短路网络的反射参数的相位来综合出待调级联耦合滤波器各个腔体的谐振频率和腔体间的耦合系数的方法，并且消除了端口相位加载的影响，给出了具体的调试步骤；接着利用导纳矩阵部分分式的展开来求得待调滤波器耦合矩阵，着重研究了消除端口相位加载的方法。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新