查询词典 newton method

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The subspace iterative method is used for the solution of natural frequencies and vibration modes for the free vibration of beam structures.

本研究推导元素的节点惯性力时，先将元素扰动位移表示成当前固定元素座标的扰动位移和旋转之函数，故可直接求得元素的节点惯性力，元素的一致性质量矩阵可由元素节点的惯性力对元素节点的加速度微分求得。

It is a measurement method following the diffraction and interference theory of the point light source. The phase message of interference pattern was obtained by the Fourier transform pattern analysis method. And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno algorithm.

基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法，它采用傅里叶条纹分析方法来求解干涉条纹的相位分布，运用基于BFGS的拟牛顿算法进行三坐标的迭代计算，确定点光源的三维空间坐标。

This is a hybrid method of multiplier method and quasi-Newton method.

它是一种乘子法和拟牛顿法的混合型方法。

An optimization method for large scale problems which combines Newton method and Interated-Subspace method is proposed.

结合牛顿法与子空间迭代的思想，给出了一种求解大型优化问题的方法。

In the chapter 4, we discussed the generalized linear inversion method of direct current IP data from the angle of the least squares method. The computed speed of inversion can be greatly raised by calculating the partial derivatives matrix combining the reciprocity principle with Broyden\'s quasi-Newton method.

在第四章中，从最小二乘广义线性反演的角度，探讨了直流激电数据的广义线性反演方法；在偏导数矩阵的计算过程中，通过将互换原理与Broyden拟牛顿技术相结合的计算方式，可大大提高反演的运算速度。

Using the comparison principle, it is proved that the proposed method is of superlinear convergence, The proposed algorithm takes the advantages of both the classical Newton method and the back/forward sweep method.

但是，前推回推法必须对节点和支路按一定的规则进行分层和编号，亦即是在具体的计算前，必须对配电网络进行拓扑分析，这对于大规模配电网和工程实际应用来说是一件比较麻烦的事情。

With the guide of non-linear program theory, by using interpolative steps and inexact line search, an improved conjugate gradient method was found, by which the training rate of BP networks increases by tens or hundreds of times. Moreover, the improved method is effective to solve non-linear equations for which Newton's method does not converge owing to the problems of the quadratic derivative and inverse matrix.

通过大量的数值模拟试验发现，在非线性规划理论的指导下采用间插步骤和不精确的一维搜索技术改进的共轭梯度法，是基于梯度和共轭方向的连续搜索算法中最有效的算法，这种算法使BP网络的训练速度提高几十到几百倍，使BP网络的实际应用效果大为改善；而且这种算法对于用牛顿法由于求二阶导数和求逆矩阵等问题难于收敛的非线性方程组的求解也是很有效的。

A multi-distance measurements method is employed in this paper. A single parameter fitting method and a double parameters (reduced scattering coefficient and amplitude factor) fitting method on the basis of the least square Newton fitting algorithm is used to derive the optical parameters respectively. For the finite-thickness homogenous tissue, it can be concluded that the rest terms in expressions of diffusion reflectance and transmittance for the corresponding tissue geometries that subtract the exponential term contained source-detector distance depend on the detected position weakly.

在多程测量的基础上，使用单参数最小二乘牛顿法拟合方法和双参数（约化散射系数、幅度因子）最小二乘牛顿法拟合方法，得到有限厚均匀组织的反射率分布和透射率分布公式中除去包含测量位置的指数项的其它部分对测量位置皆具有弱依赖性的结论，并对拟合结果进行了分析讨论；而对于有限厚平板状双层组织，可根据对反射测量结果及透射测量结果进行拟合所得的约化散射系数间的差异及常数因子的正负判断双层组织的可能结构分布。

Traditional sports teaching method,already could not adapt the new times sports curriculum to reform; this article means which through the literature law, the questionnaire investigation law, the cut-and-try method unifies, carries on the comparison to the traditional each sports teaching method, discovered the sports competition teaching method can adapt the new times student sports demand; the competition teaching method is unifies the traditional teaching method in the foundation one new teaching method, proved through the experiment, its teaching effect is good.

一些传统的体育教学思想、教学理念、教学方法、教学模式已经不能够适应现代教学的需要，在此过程中，为提高教学质量，就必须对教学方法进行改革。作为体育教学，如何进一步转变体育教育思想，深化体育教学改革，摆脱旧的传统的教学体系、思想体系和理论模式，逐步形成一个新型的，具有中国特色的教学过程和教材体系，使我国体育教学面向未来社会的需要，跟上21世纪学校体育发展的需要，是本文探讨和研究的问题。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。