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In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理,并在此基础上对矩阵指数函数e的连分式算法进行改进,最后用数值例子来验证其可行性。

The theory that the inverse of a nonsingular matrix is continuous function of the elements ...

Wilkinson建立了非奇异矩阵的逆是矩阵元素的连续函数的理论。G.W。

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。

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。

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。

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。

Based on a relationship between the RF and Jacobi matrix, a novel method which is independent of the forward modeling for a fast algorithm of Jacobi matrix employing the RF was advanced.

通过建立二维非均质反演Jacobi矩阵与响应函数的关系,开辟了Jacobi矩阵快速算法构造的有效途径。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。