查询词典 newton method

In this paper, the author proves that the generalized Newton's method for finding me roots of an algebraic equation converges to the root, real or complex , nearest to the starting point. A tabulation method is then devised and used in four illustrative examples.

在本文内，作者首先证明了求代数方程根的推广牛顿法收敛于离出发点最近的一个根，其次设计了一种简单的列表计算法，最后通过四个例题说明用这种方法可以逐步接近代数方程的实根或复根。

By the geometrical nonlinear finite element method, the equilibrium path is traced using the cylindrical arc length technology and incremental Newton-Raphson method. The influence of kinds of parameters is studied.

采用非线性有限元理论，结合牛顿荷载增量法和柱面弧长法的跟踪技术，对Kiewitt型弦支穹顶结构进行了考虑几何非线性的全过程分析；为了掌握各个参数对静力稳定性的影响程度，进行了参数分析。

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。

Newton's Method and Newton's Style, pp.

牛顿的方法和牛顿的风格》。126－44页

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

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。

This article mainly carried on has put down work the seat, introduced stood upside down suspends the system each control method, has carried on a more detailed introduction to the condition space law; Has used Newton - the Euler method modelling; Proposed realizes with the condition space control method to a level stands upside down suspends the system the stable control, and has carried on the simulation experiment; In the experimental simulation, through change parameter R and Q, stands upside down with the condition space control method in the reality suspends on the system to carry on the confirmation, has realized the swing link balancing control, confirmed this plan to have the certain antijamming ability.

本文主要进行了以下工坐，介绍了倒立摆系统的各种控制方法，其中对状态空间法进行了较为详细的介绍；采用了牛顿-欧拉方法建模；提出用状态空间控制方法来实现对一级倒立摆系统的稳定控制，并进行了仿真实验；在实验仿真中，通过改变参数R和Q，用状态空间控制方法在实际倒立摆系统上进行验证，实现了摆杆的平衡控制，验证了该方案有一定的抗干扰能力。

A method to find the exact points of inlet and outlet of film-thickness of the EHL is introduced. A numerical solution of TEHL of the gear using Newton relaxation method and binary search method and the method to find the exact points of inlet and outlet is developed. By means of multiple regresion, a formula to calculate TEHL flash temprature of the gear is obtained.

推导给出了齿轮承载区内热弹流热流密度方程、无量纲参数团表示的热弹流方程和油膜入口点及出口点搜索确定方法，编制了由松弛因子牛顿法、对分法及油膜入口点和出口点搜索方法等组成的便于工程实际应用的齿轮承载区热弹流快速计算程序。

On the basis of both adaptive BP algorithm and Newton's method, Quasi Newton algorithm with adaptive decoupled step and momentum for feed-forward neural networks is derived.

基于输出层函数为线性函数的三层前馈神经网络，结合自适应步长和动量解耦的伪牛顿算法及迭代最小二乘法导出了一种混合算法。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。