收敛

Aimed at the calculation complexity of Newton iterative method for solving nonlinear equation,a new iterative method with higher convergence rate and without derivative calculation is presented in this paper.Its convergence rate p is 1.839 and it doesn't need to calculate derivative.

为解决Newton迭代法求非线性方程数值解时必须提供一阶导数值的问题，提出了一个新的迭代方法，该方法不需提供导数值而只需计算函数值，且具有p=1.839的收敛阶，因而是一个收敛速度快且不需要计算导数值的迭代方法。

On the basis of least potential energy theory the stability and convergence are analyzed and discussed in Hilbert space, and the basic condition ensuring uniqueness and convergence of solution is given.

在Hilbert空间内，从最小势能原理出发对非协调数值流形方法的稳定性和收敛性进行了分析和讨论，得到了保证非协调流形元解唯一存在和收敛的基本条件，完善了非协调数值流形方法的理论基础。

In chapter 2,we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function.

其中第二部分讨论了非齐次线性微分方程解取小函数的收敛指数，第三部分研究了齐次线性微分方程f~+Af=0的解的零点收敛指数与A的级的关系。

It is proved by means of homogeneous finite Markov chain analysis that NS-LDSE is convergent to the global optimum for any chosen initial population. Meanwhile, the convergence speed of NS-LDSE is estimated by means of Markov stopping time.

利用随机过程的相关理论，本文讨论了LDSE算法的收敛性，证明了NS-LDSE所生成的种群Markov序列收敛于最优种群，且与初始种群的选取无关；同时给出其种群Markov序列首达时间的一个上界估计。

Through this method for judging the uniform convergence, later, discriminate functions meet function series and parameter improper integral. We uniform convergence problem can be given according to the problems in accordance with the terms of this list, choose the proper, concise method are verified.

通过本文对判别一致收敛方法的总结，以后遇到判别函数列、函数项级数以及含参量反常积分一致收敛的问题时可以根据问题所给的条件再依照本文所罗列的方法，选用适当的、简洁的方法进行证明。

The effect of parameters such as the wedge angle, the incident wavefrequency and the angle of incidence is also analyzed. Furthermore, theaccuracies of the numerical results are checked by the convergence of theground surface displacement and residual errors of boundary conditionswith the increasing progression term.

本文定性分析了地形角度、入射角度和入射频率等因素的影响，并从级数项数增加时地表位移结果的收敛以及边界条件残量的收敛两个方面验证了结果的正确性。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

In this paper,we study convergence theories of this inexact Newton method .

分析了求解对称特征值问题的不精确Newton法，给出了相应的收敛性定理，并证明了在适当的条件下，不精确Newton法超线性收敛。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we define δ-fine partitions for infinite interval and integral of vector-valued functions on infinite interval, and discuss the properties of integral, and characterize its primitives...

主要包括以下五部分内容：在第一部分中，我们介绍了本文所用到的基本概念和引理；在第二部分中，通过定义无穷区间上δ-精细的分法，我们给出了无穷区间上向量值函数的积分的定义，并讨论其性质，还给出了原函数的刻划；在本文的第三部分中，我们着重讨论了无穷区间上向量值函数积分的收敛定理；在本文的在第四部分中，我们首先应用无穷区间上向量值函数积分的收敛定理给出了常微分方程整体广义解的存在性定理，其次应用强积分对Banach空间常微分方程广义解进行了讨论；最后，在第五部分中，我们将模糊积分推广到无穷区间上并给出了其数值计算方法。

We derived evolution equations of the corresponding Eu-clidean support functions.Finally we obtained that the solutions of the heat equation convergeto a point in infinite time,the solutions of the other equation converge to a point in a finite time

我们又得出相应的欧氏支撑函数的发展方程，最终得到热方程的解在无限时间时收敛于一点；另一发展方程的解在一个最大时间区间内存在，并且在有限时间内收敛于一点。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐