收敛性

In Chapter 3, we study the semilocal convergence for the method appeared in Chapter 2 under Lipschitz continuous condition of the second Frechet derivative, and get the corresponding error estimation by majoriz-ing function technique. And also, an application of the theorem to a non- linear equation is given.

在第三章中，研究了复合型Newton-Steffensen迭代方法在算子的二阶导数满足Lipschitz连续条件时的半局部收敛性，并利用优函数技巧得到了其在该条件下的误差估计，最后给出了这个定理的一个应用。

Secondly, a great deal of work has been carried out in GA's convergence and convergence rate.

对GA的收敛性和改进研究有一定指导意义。

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

The convergence and stability of the semi-implicit Euler method are studied for a general linear test equation of SDDEs.

对于随机延迟微分方程具有一般性的线性试验方程，研究了半隐式Euler方法在均方意义下的收敛性和稳定性。

Based on the analytic model of an eccentric slider crank mechanism with elastic effects at both joints of the coupler and four coupler Mathieu-typed equations of motion in terms of the generalized coordinates of the system,the extract solution is developed from the improved Hill method with accelerated convergence.

在所建立的连杆接头处具有弹性效应的曲柄滑块机构的动态解析模型以及在广义坐标下推导出的4个马修型运动方程的基础上，由具有加速收敛性的改进希尔法进行了精确求解。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

Writing their own genetic algorithms, the effect of good experimental proof of a good algorithm.

详细说明：自己写的遗传算法，效果很好的，实验证明算法的收敛性很好。

The global convergence analysis of the adaptive algorithm is provided, too.

同时还给出了该改进算法的全局收敛性分析结果。

This paper analyzes the global convergence of the particle swarm optimization algorithm.

摘要分析了粒子群优化算法的全局收敛性。

Under mild conditions, the global convergence of the algorithm is proved.

在适当的条件下，证明了此算法的全局收敛性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。