数值算法

In this chapter, we give the proof of the global convergence with standard conditions.

最后给出算法全局收敛性的证明，以及与[3]中的算法进行理论上的分析比较，并给出实际计算的数值例子。

We also use the trust region algorithm for the numerical test of the inverse problems in gravimetry and the parameter identification in 1d and 2d elliptic PDE.

我们并对该算法分别用二维PDE的参数识别问题和重量测定中的反问题进行数值试验，试验结果表明了我们算法的正确性。

The simulations of functions optimization show that the new algorithm has good ability to find the global solution,and the homogeneous markov process is got from the new algorithm.

通过函数优化的数值模拟验证了新算法具备优良的寻优能力，同时论证了新算法是齐次马氏过程。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

In the third chapter, the finite element inverse approach has been applied to an L-shaped cup drawing simulation. Compared with the experimental result and incremental FEM result, the numerical results of inverse approach validate the efficiency and accuracy of inverse approach. In the fourth chapter, a rear fender has been chosen to be an example of 3D complicated auto panel.

采用有限元逆算法数值模拟了L-形方盒件的冲压成形过程，计算结果与试验结果及增量有限元结果进行了比较分析，结果表明：有限元逆算法结果与试验结果基本吻合，而且有较高的精度，在产品初期设计阶段具有较大的应用价值。

Using Hankel digital filter algorithm and inverse spine interpolation algorithm to simulate electromagnetic fields of the horizontal layers , we contrast the calculational Cagniard apparent resistivity with its results and field experimentation.

利用汉克尔数值滤波算法和逆样条插值算法对水平层状电磁场进行正演计算，并与计算的卡尼亚视电阻率的对比和野外试验结果表明：该方法的结果在远区等价卡尼亚电阻率，在近区和过渡带则明显地改善了卡尼亚电阻率的非波场区场畸变，从而能更好地接近基底的真电阻率，更形象地反映了地下介质的垂向电性变化。

This is the University analysis of the experiment- Lagrangian the source, to help you learn and master the Lagrangian!

详细说明：这是大学数值分析的实验——拉格朗日算法的源码，帮助大家学习和掌握拉格朗日算法！

So the knowledge in global knowledge base and local knowledge base can be updated efficiently.

该算法的特点是可同时挖掘出全局频繁项集和局部频繁项集，从而可更新网络主管理者的全局知识库和网络分管理者的局部知识库，并通过数值试验证明了算法的有效性。

From the starting value selection method in the Fuzzy ISODATA algorithm, used the method of maximal matrix element to ascertain the number of classification, the theoretical analysis of repeated test, and finally, the improved fuzzy ISODATA algorithm is obtained. The algorithm reduced sensitivity to the starting value. The algorithm can highly effective clustering analyze and obtains a stable result, so it presents an efficient way of improving the contribution value of custom service.

研究中先对模糊ISODATA聚类演算法中，初始划分矩阵和分类数的确定，并使用最大矩阵元素法，求得最佳化演算法中其他参数值，最后在CRM系统实际验证和分析中，采用本研究改良之模糊ISODATA聚类演算法，对汽车销售公司实施客户模组分类，经实验证明所得到的聚类结果，可有效解决一般聚类方法受限於参数设定敏感度的困扰，并使聚类精确度提高，有效排除杂讯敏感的影响，使聚类效果大幅提升，可帮助行销人员做出预测，制订出针对客户差异化的行销策略，提高客户服务的贡献价值。

In order to speed up the convergence speed, the each one step of the Landwber iteration is discomposed into the matrix computation and solution and a quick iteration scheme is given for the matrix computation. The relevant accelerated algorithm is given too. Numerical example proves that the accelerated algorithm can quicken convergence speed, reduce the calculation burden, and overcome the obstacle of application of Landweber method of iterated regularization.

为了加快Landweber迭代收敛速度，将每一步Landweber迭代分解为矩阵计算和求解，对矩阵计算部分设计了一种快速迭代格式，并给出了相应的加速算法，通过数值实验验证了这种算法能够大大加快收敛速度，有效的减少计算量，解决了Landweber迭代正则化方法在实际应用中的障碍。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。