收敛

In chapter 5,a new mixed algorithm suitable for feasible initial point is presented.

该方法是整体收敛性算法与局部超线性收敛性算法的组合。

In the algorithm,a kind of merit function and the schemes of nonmono-tone line search are used to have the algorithm be of the global convergence andsuperlinear convergence and have the algorithm be of a extended application range,especially at time of the feasible initial point is hard to be obtained.

该方法适用于任意的起始点。并且使用了一类效益函数，ε—积极约束策略及非单调线搜索，从而使算法保持了整体收敛性和局部超线性收敛性，并具有较广的适用范围，尤其在可行的起始点难于得到的情况下。

The pair of finger-shaped grass-poking wheels forming splay with each other is mounted on installation rack for convergent arms, wherein the centers of the pair of finger-shaped grass-poking wheels of the front ends converge at a point and are not interfered with each other.

一对拨草轮成"八"字型安装在收敛支臂架上，其前端中心处彼此收敛到一点而互不干涉。

The finite difference approximation for this equation is presented.The stability and convergence of the finite difference approximation are analyzed.

并证明了显式格式条件稳定和条件收敛，而隐式格式则是无条件稳定和无条件收敛。

College of Guandong Business, Guanzhou 510320, China）Abstract: Since large-scale vertical quench furnace is voluminous, whose working condition is a typically complex process with distributed parameter, nonlinear, multi-inputs/multi-outputs, close coupled variables, etc, dynamically decoupling control algorithm of temperature distributed parameter system in the furnace was presented, by which the whole system was decoupled to several subsystems and the implementation of controller was simplified. With finite difference approximation, the space and time step size was solved to ensure the convergency of finite difference approximation. After decoupling, the subsystems were controlled with self-learning PID control algorithm. The results show that the temperature control precision and homogeneity are improved; the overshoot and process in temperature rising period are reduced simultaneity.

摘 要：针对大型立式淬火炉体积庞大，工况复杂，炉内温度分布呈本征非均匀性，具有多输入/多输出、非线性、强耦合等特性，难以实现炉内温度高精度高均匀性控制目标等问题，提出一种温度分布参数系统动态解耦控制算法，其原理是：采用有限维逼近方法将对象解耦为多个独立的子系统，简化控制器的实现过程；通过分析有限维逼近方法的收敛性，获得保证收敛性的空间和时间步长应满足的条件；解耦后的子系统采用自学习PID控制算法，实现炉内温度高精度和高均匀性控制以及升温过程的快速性和小超调。

Thus the finite progression could be used to calculate the scalp potentials distribution in stead of the infinitive progression in a certain error range.

同时代入数据，用数据进一步对它的收敛性作出验证，并判断了其收敛的级数。

The family of iterative methods avoid evaluating the second Frechet derivative.

在第一章中，我们总结了各种迭代法和它们的收敛条件及证明各种迭代法收敛性的技巧。

Construction and properties of the integral; convergence theorems; Radon-Nykodym theorem; Fubini's theorem; mean convergence.

积分。 积分的构造和性质；各类收敛定理；拉东(Radon-Nykodym)定理；富比尼定理；平均收敛

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识，运用Lax-Milagram定理等，从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题，得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

It is revealed that the RTT distribution is best fitted by a constant plus a"skewed right"gamma distribution.

在集体行为方面，它是易响应的，协议间公平的，协议内部公平收敛及有效收敛的。

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