矩阵函数

Collocation needs to know the covariance matrix of the signal vector,which is usually evaluated by a chosen covariance function and corresponding coefficient fitting.

拟合推估解算必须首先求得信号向量的方差协方差矩阵，该协方差矩阵一般通过选定的协方差函数，并通过已测点数据进行拟合得到。

In the end, the PID diagonal matrix decoupling control algorithm was adopted in the system based on the matrix transfer function, and it is compared with reverse-forward-feed decoupling method.

最后根据系统的传递函数矩阵，采用PID对角矩阵解耦控制算法实现其解耦控制，并将其与反前馈解耦算法作了比较。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

However, with the help of transformation matrix, it was able to get the optimal non-negative factor matrix for the transformed cost function.

但是，若采用矩阵变换方法，则对于变换后的代价函数，就有可能获得唯一的最优非负分解矩阵。

A efficient LU decomposition method is spectral factorization. That is, after the minimum phase correlative function of each array of matrix had be given by a spectral factorization method, all of the functions are arranged in a position according to its former location to get a lower triangular matrix.

谱法LU分解的优点是在对大量具有相同非零结构的矩阵分解时，通过建立包含所有具有不同非零元素的列对应的自相关函数的分解表，使得随后的所有矩阵分解只需通过查表实现。

Matrix expression of acoustic field and Green's function are introduced in detail.

对声场的简正波形式的矩阵表达式以及声场格林函数矩阵进行了详细介绍。

For the condensed dynamic stiffness matrix in finite models which have finite number of freedom and any dynamic stifmess matrix of infinite system, the element of them is a transcendental function of eigenfrequency. And therefore transcendental eigenvalue problem is needed to be solved in order to get the natural frequency and modes of vibration.

对于有限自由度系统的缩聚动刚度矩阵和无限自由度系统的任何动刚度矩阵，其元素是频率的超越函数，因此求解结构固有频率及其振型归结为求解超越特征值问题。

Based on the special matrix operations including Kronecker product, Hadamard product and vectorization, the integration of monomial integrand on simplex domain is expressed in matrix form and a recursive formula for the simplex integration is presented.

基于Kronecker积、Hadamard积和拉直等矩阵特殊运算，将单项式函数在单纯形上的积分表示为矩阵形式，提出了单纯形积分的递推公式。

In the method,thematrix exponential is calculated precisely by using 2N algorithm and the integration offunctional matrix by parts is applied.

首先依据常微分方程的经典理论，运用指数矩阵的2N类精细算法及函数矩阵的分部积分法建立数值求解常微分方程的一般方法。

Modifications to the conventional layer by layer optimization method make it possible to avoid computing Hessian Matrix and its inverse form, thus it can decrease computational complexity dramatically. Simulation results for some practical problems such as function approximation and XOR problem, have demonstrated improvements over classical back-propagation algorithm and conventional layer by layer optimization algorithm.

本文在传统逐层优化算法上的改进避免了反复计算 Hessian 矩阵及其逆矩阵，因而可以减少计算量，对一些应用问题，如函数逼近、异或等问题的仿真实验证实了新的算法比经典的 BP 算法以及现存的逐层优化算法的训练速度更快、可靠性更好。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。