查询词典 modified Newton method

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。

According to the electrical power system characteristic, the modified equation which antipode coordinates form Newton - Rough abdicated improves and the simplification development has formed the P-Q resolution.

根据电力系统的特点，对极坐标形式的牛顿-拉夫逊的修正方程加以改进和简化发展形成了 P-Q 分解法。

This reseach also demonstrated that Modified Newton's model had the characteristics of the goodness-of-fit to predict the moisture content changes of lemon balm, and could be used as its prediction equation.

本研究亦获致修正Newton模式对香蜂草乾燥之乾基含水率变化，具有良好之回归适称性，可作为香蜂草乾燥之预测方程式。

Through the lorentz transformation on the defects of modified and The definition of the force to re-examine, making special relativity without violating the basis of Newton's three laws to coincide with the classical electromagnetic theory.

通过对洛仑兹变换存在的缺陷进行修正及对力的定义进行重新审视，使得狭义相对论在不违背牛顿三定律基础上与经典电磁理论达到吻合。

But in the 1980s, a few researchers noted that the observations could be explained without dark matter if Newton's second law didn't quite hold for very small accelerations, a scheme known as Modified Newtonian Dynamics or MOND.

但在80 年代，几位研究员注意到，观察能被解释没有神秘的物质如果牛顿的第二法律没相当举行了为非常小加速度、计划以修改过的牛顿动力学著名或MOND 。

By the way, we describe the modified quasi-Newton algorithm used the line search , and have given its global convergence and superlinear convergence.

接下来描述了采用线性搜索的修正拟Newton算法，并给出了它的全局收敛性与超线性收敛性。

In Chapter 3, we propose two new quasi-Newton type trust region methods for solving unconstrained optimization problems. These algorithms combine two types of the preconvex part of modified Broydens family proposed in chapter 1 with trust region algorithm effectively, they have global convergence property and superlinear convergence rate.

第三章，给出了用来求解无约束最优化问题两种新的拟牛顿信赖域算法，这些算法将第一章给出的两种修改Broyden非凸族与信赖域算法有效结合起来，它们具有全局收敛性和超线性收敛速度。

A class of modified BFGS algorithm which satisfies the new quasi-Newton equation is proposed in the paper[1],and the global convergence of the algorithm is proved under the condition that the objective function is uniformly convex.

文献[1]曾在已建立的一类新拟牛顿方程 Bk+1sk=yk-=yk+kγskTsksk的基础上，证明了满足新拟牛顿方程的一类改进BFGS算法在目标函数为一致凸的条件下，具有全局收敛性。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。