收敛

To find the minimum of energy function E is a part of work in the test generation based on neural network.

给出了神经网络测试生成的遗传进化方法的并行实现算法；提出了异步拟牛顿法、异步割线法和异步区间算法等三种异步并行算法，并对每一算法的收敛性及收敛效率做了分析，为神经网络测试生成方法在多机并行系统上的仿真实现提供了新的途径。

Although the methods described above have been developed heuristically and no proofs of convergence have been derived for them, in practice they have generally proved to be robust and reliable in that only rarely do they fail to locate at least a local minimum of a given function, although sometimes the

虽然上面所描述的方法启发性地发展起来，没有相关收敛的证明，但事实上实践证明它们是鲁棒的和可靠的，至少对于给定的局部最小化它们很少失败，虽然有时收敛率会很慢。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

However, in many cases, one must give rather strong conditions, such as the strong monotonicity, to ensure the convergence of the method.

不过，在许多情形下，该算法的收敛需要较强的条件，诸如强收敛性等。

The monotonicity and the convergence of deterministic nature are proved.

文中给出了误差函数的单调性定理以及该算法的弱收敛和强收敛性定理。

This method has the advantage of the well-known Newton's method, considered by, thus it does not need to solve linear equations.

3.4.6分别给出了它在各种条件下的收敛性的证明，并估计了收敛速率。

This article is going to study the convergence and rate of convergence about nonhomogeneous Markov chains.

本文主要研究非齐次马氏链的收敛及收敛速度。

To examine the topological space theory by nonstandard analysis, the nonstandard characteristics of ideals convergence is given in the enlargement model.

为了用非标准分析方法进一步研究拓扑空间，在扩大模型下，对理想收敛的基本理论进行了非标准刻画：设X是拓扑空间，I是X中的理想，I收敛于点x，当且仅当v v 。

By using the Tadmor's convergence criteria for the difference approximation of the hyperbolic conservative e2 quation and introducing some adjusting parameter in the nonvanishing viscosity , some convergence properties are obtained.

Descripción ：摘要：应用Tadmor 的关于双曲型守恒方程式差分逼近的收敛性判别法，对于若干差分逼近式，引入一些参数，只要在上机时适当调整此参数值，即可得到其收敛性。

The structure and the thickness and optical constants of each layer determine the reflectance of the thin film system.

尽管全局优化算法具有对初值没有强烈依赖的"鲁棒性"，但在到达最优解90％的地方收敛速度大大减慢，存在后期收敛速度较慢的不足。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。