迭代法

Based on decomposition-coordination model of an electric power system,the general augmented Lagrange method and auxiliary problem principle are adopted to form iterative distributed transfer capability computation framework,in which the influence on the internal system exposed by external system is considered through exchanging the information of boun.

该方法通过分解-协调模型实现互联电网的解耦，采用增广拉格朗日法和辅助问题原理实现输电能力按地理分区，形成一个迭代形式的分布式输电能力计算框架，迭代中通过交换边界节点信息将互联外网信息反映到各分区的计算中，各地的子网络计算相对独立。

First, a special normal transversal at the initial point is constructed and a second-order Taylor's algorithm is used to trace the projections along the aforementioned normal transversal. A curvature based method for controlling iteration step is further proposed by projecting the given point onto the curvature circle of the normal transversal at the initial point. Finally gradient based method for correcting iteration errors is put forward.

首先构造初始点处的一条特殊的法截线，并给出沿着该法截线追踪投影点的二阶泰勒迭代方法；然后将给定点向初始点处的法截线的曲率圆作投影，提出基于曲率的步长控制策略，在此基础上给出了基于梯度的迭代误差矫正方法。

The reliability theory is combined with the fuzzy optimization technique, the theories and methods on the symmetrical fuzzy reliability optimization design, the asymmetric fuzzy reliability optimization design and the multi-objective fuzzy reliability optimization design are presented respectively, and then the correspondence direct model solutions, the iterative solutions, the corrected algorithm for iteration method, the level cuts solutions and the searching solutions with limited boundary for the asymmetric fuzzy reliability design are presented respectively.

将可靠性理论与模糊优化技术有机地结合起来，提出了结构对称模糊可靠性优化设计、非对称模糊可靠性优化设计和多目标模糊可靠性优化设计理论与方法，并分别给出了模型的直接解法、迭代解法、迭代求解的改进算法和非对称模糊可靠性优化设计模型的水平截集法和限界搜索法。

Chapter 4 puts up the basic theory of non-linear finite element calculation methods and deduces calculation iterative formula and relevant accelerating iterative format. In the calculation of non-linear finite element, yielding element calculation is a difficult problem,"fictitious elastic stress" methods propounded in this paper puts the axe in the helve.

第四章提出了非线性随机有限元法的基本理论，并推导了计算迭代公式，为加快计算速度，提出了相应的加速迭代格式，对于基于非线性随机有限元的可靠度计算中，屈服单元的计算方法是一个难题，本文提出了"虚拟弹性应力"法，较好的解决这个难点。

The Hessian matrix of every function in this model is constant, so it will be calculated once in the entire optimal process based on interior point method, which speeds up each iteration.

该新模型的海森矩阵是精确的常系数矩阵，在内点法迭代过程中只需要计算一次，从而缩短了每次迭代的计算时间。

Based on the isoperimetric graph partitioning method, we propose several practical segmentation algorithms. The first is the iterative two-way cut method which can segment an image into pieces with particular characteristics each other by iteration. The second is simultaneous K-way cut method which divides the image into K parts synchronously. The last is an interactive method separating objects of interest from the background by the user's input specifying the object of interest manually.

基于等周分割方法，我们提出了几种实用的分割算法：第一种是迭代2分方法，它通过迭代的方法将图像分割成各具特征的小区域；第二种是同时直接K分法，同时将图像分割成K个部分；最后一种方法是交互分割法，它依赖人工输入来指定所要分割的感兴趣目标，将图像目标从背景中分离出来。

These eigenvalue algorithms are examined under the mode error, i.e, the ratio of out-of-balance nodal point forces that is the difference of maximum elastic nodal point forces and maximum inertia nodal point forces, and the maximum elast...

与ANSYS的子空间迭代和Lanczos法相比，本文的子空间迭代比ANSYS的效率高很多，Lanczos法和ANSYS的效率差不多。大量较大规模的例题显示，本文对特征值算法的改进是十分有效的，算法的健壮性，通用性都达到了高水平。

Under condition of three reconstructed objects which the occupied spatial ratio is 12%, the iterative number is 10 when OSR is 16. 67% for iterative algorithm, only 1 revised for ROR method when OSR is 16. 41%, and LBP's OSR is 35. 86% without iterative process.

在对成像区域内三物体（占空比为12％）成像条件下，采用迭代算法要进行10次迭代后重建图像占空比达16.67％，ROR法只需修正1次可达16.4l％，而LBP法为35.86％。

Through theoretical derivation, the author proved that the Landweber method is the transmogrification of the iteration solution of the generalized inverse, so the phenomenon that the reconstructed images of Landweber through many iterative processes is close to those reconstructed by generalized inverse method is explained, then a new reconstruction algorithm, namely pre-iteration method is presented, which divides the process of reconstruction into two steps, namely off-line pre-iteration and on-line one-step reconstruction.

通过理论推导，作者证明了Landweber法实际上可归于广义逆矩阵迭代求解的变形，从而解释了Landweber法多次迭代后，趋于广义逆解的现象。

To assure astringency, sometechnologies have been used such as iterative penality function methods,assemblage mass matrix, reduced integration algoritlun, NeWton iteration methodwith parameters for non-linear equation set, introducing relax factors and doublesteps solution and so on, and an algorithIn for solving the nonlinear equation set offlow field by FEM has been presented.

基于有限元法建立了流场求解列式，为保证其收敛性，采用了迭代罚函数法，集中质量矩阵，缩减积分计算，带参数的Newton迭代求解，引入松驰因子及双层解法等技术，提出了一套适合流场有限元方程计算的非线性方程求解方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。