收敛性

If the neighborhood of equation solution is solvable and meets the point- by-point Lipschitz condition, stable boundary could be obtained as the convergence of the difference method is realized, and thus the stability is ensured.

方程解的邻近如果可解并具备逐点Lipschitz条件，则差分法收敛必有稳定界存在，从而差分格式收敛性保证其稳定性，因此可以放弃线性这一重要条件。

Puthermore,we make a comparison between its optimum spectral radius and that of SOR method and draw a conclusion that these two methods have their own advantages respectively under different conditions.

除了对迭代方法的研究和改进，对方程组本身做某些处理，如对它进行预条件也是有效改善迭代收敛性，加快迭代收敛速度的方法之一。

Theoretical analysis and a lot of practical examples show that the convergence of this algorithm is very stable, that its convergence rate is very fast, and that it can also give accurate calculation of the value of the pressure loss.

理论分析和大量实际算例表明这种算法具有非常稳定的收敛性和非常快的收敛速度，并且能够给出压降的精确计算值。

Ensure global convergence of random PSO algorithm for high-dimensional functions is a strong global convergence.

保证全局收敛的随机粒子群优化算法，对于高维函数有较强的全局收敛性。

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。

This paper,uses the property of being uniformly integrable to truncate the random variable sequences,and under the condition of φx↑,φx2↓,obtain a weak law of large number of martingale difference sequences by the weak convergence theorem.

通过使用一致收敛性对随机变量序列进行截尾，并借助随机变量序列的弱收敛定理，在φ↑，φx2↓的条件下给出了一个鞅差序列的弱大数定律。

The paper is organized as follows. In chapter 2, we introduce some concepts about SEA, the abstract SEA model and the convergence definition of algorithm. In chapter 3, we describe firstly the evolution of PMA as an abstract stochastic process, and by characterizing axiomatically the properties of the fundamental selection and evolution operators, we conclude that PMA is essentially a kind of SEA.

本文结构安排如下：第二章介绍了模拟进化算法的一些基本概念、形式化随机过程描述以及收敛性定义；第三章对改进后的 PMA 各操作作了抽象定义，得到了 PMA 的形式化随机过程描述，并公理化地证明了各操作算子为选择或繁殖算子，从而得出 PMA本质上也是一种模拟进化算法；第四章先对选择算子特征数定义作了适当改进，并通过各进化算子的具体特征数指出，如果 PMA 不采取任何执行策略时，算法本身并不收敛。

And the frontal technique is adapted to solve the FE equations. The techniques are studied to deal with the large slip frictional contactproblems between a deflectable body with large deformation and a rigid bodywith flat or curved surface. A new algorithm is presented to resolve such contactproblems, including incremental displacement constraints and force constraints,and the modules are programmed. The performances of tire under static load invertical loading state and camber state are analyzed by this method. And theexperiments were carried out at the same condition as used in analysis process.

研究了大变形柔性体与具有平面及曲面外形刚性体之间的大滑动摩擦接触问题，提出了求解这类接触问题的位移增量约束和主动力增量约束处理方法；编制了大变形柔性体与具有平面及曲面外形刚性体之间的大滑动摩擦接触问题求解模块；利用本文提出的大滑移接触问题处理方法，分析了轮胎在径向静载和静态外倾加载条件下受力和变形，并对部分分析结果进行了试验验证，验证结果表明，本文提出的位移增量约束和主动力增量约束处理接触问题的方法是正确可靠的，而且具有精度高、收敛性好、收敛速度快的优点。

It is shown that these two sequences converge monotonically to a unique solution of the finite difference system.

给出一类求解具时滞边界条件的时滞反应扩散方程的数值方法，证明了迭代序列的单调收敛性以及差分格式的收敛

Because of nonconvergent problem, the method was improved to get the true convergent root during the whole working clearance.

试验证明，当采用所提出的&混合比例分割法&时，能同时获得快的收敛速度和良好的一致收敛性。

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。