收敛性

For the American put option and binary option which do not have analytical solution, we propose algorithms based on explicit scheme and implicit difference scheme and then

对不存在解析解的美式看跌期权和两值期权分别给出了显式、隐式差分算法，并对格式的相容性、稳定性、收敛性进行了分析。数值实验结果表明这种方法是有效而实用的。

The example shows that the exponential change has tremendous influences on iterative number, Lagrange multiplier value and initial value. An appropriate value selected can make the algorithm have a good convergence property.

算例结果表明，指数的变化对迭代次数、拉格朗日乘子的取值及初值的选取都有较大影响，通过合适的取值可使算法具有更好的收敛性。

Analysis on the Astringency of a Hybrid-Domain Basis Function Based on Exponential Series Function;2. Research the Corn Production Efficiency of China Based on Malmquist Model and Astringency;3. The background of application of genetic algorithm to reservoir optimal operation and its astringency are introduced.

介绍了遗传算法在水库优化调度中的应用背景及算法的收敛性，讨论了水库优化调度中遗传算法的基本应用步骤以及存在的问题，给出了算法的各种改进方法，并对遗传算法的应用前景进行了展望。

They are:1 design and implementation of nonlinear least Square Algorithm,2 design of general formula expositor,3 design and implementation of software encryption scheme and4 making of help files system.

数值实验表明：设计的算法具有极高的计算精度，也有较好的全局收敛性与稳定性，明显优于SPSS等软件，不仅可以处理小残量问题，而且能够处理大残量或非线性程度较高的问题，对于线性回归，可以一步达到精确的结果，使线性问题和非线性问题很好地统一起来。

Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.

性质3 在级数中去掉、加上或改变有限项，不会改变级数的收敛性。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法，将求解实系数高次方程非零实数根的问题，转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题；给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法，并分析了算法计算的复杂程度。

Using a new measure function to express the sparse prior information of SAR image, a regularized model is established. The model is solved by the fixed point iteration method and proved to be convergent.

本文采用一种新的度量函数表示SAR图像的稀疏先验，建立正则化模型，证明了不动点迭代求解的收敛性。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

In Chapter 3, considering fractional relaxation equation, we make use of directlythe Grunwald-Letnikov definition to discrete fractional derivative, obtain a numericalmethod of fractional relaxation equation,and give the proof of consistency ,conver-gency and stability.

第三章对于一个推广到分数阶的松驰方程，直接利用Gru¨nwald-Letnikov分数阶导数定义进行离散，得到分数阶松驰方程一个数值方法，并给出了相容性，收敛性和稳定性的证明。

The Dinkelbach-type algorithm for generalized fractional program whose objective function is composed of infinite fractions was generalized. Properties of a parameter program and convergence of a class of generalized algorithm were discussed.

就一类目标函数中有无限个分式的广义分式规划问题，在已有的相应的Dinkelbach型算法的基础上作了进一步的推广，使其成为一簇算法；讨论了一个参数规划的性质和该簇算法的收敛性。

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。