迭代法

Calculus can be used to find approximate solutions to equations, in methods such as Newton's method , fixed point iteration , and linear approximation .

积分可以用来寻找近似解方程，在方法，如牛顿法，不动点迭代和线性近似。

In this algorithm the model of robot's workspace was established with grid method and foldback iterating was used to search the aims by simulating the foraging behavior of ant colony.

该算法使用栅格法对机器人的工作空间进行建模，通过模拟蚂蚁的觅食行为，采用折返的迭代方式对目标进行搜索。

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

And the equations are solved coupling iteratively whith PCG method for Laplace equation and Gauss—Seidel method for convective equation.So the distribution of piezometric tube waterhead and saturation can be obtained.And the seepace free surface will be captured automatically according to the distribution of saturation with the concept of VOF.

分别对饱和区的拉普拉斯方程采用预处理共轭梯度法、非饱和区的对流方程采用Gauss—Seidel方法进行耦合迭代求解，得到渗流场的测压管水头分布和饱和度分布，并引入VOF的概念，由饱和度的分布自动扑捉渗流自由面。

Then 3D surface can be flattened to 2D plane from the center line by geodesic curvature method, and an accurate 2D pattern can be created through carrying out the numerical simulation.

然后以仿测地线曲率法，从摊平基准线将3D 曲面摊平展开至2D 平面上。并进一步透过数值迭代运算得到精确的2D 裁片外形。

This paper proposed a new algorithm for eyes detection in the images. First, in a known face image, the homomorphic filter was used to enhance the contrast of the image and the iterative thresh choosing algorithm changed the gray images into binary ones. According to certain priori knowledge, it could get the candidate field of the eyes.

提出了一种新的图像中人眼检测算法，在一幅已知的人脸图像中首先采用同态滤波算法增强图像的对比度，然后利用迭代式阈值选择法对图像进行二值化处理，根据传统的先验知识获得眼睛的候选区域。

Classic technique is the Newton-Raphson iterative. But when the system grows much bigger, the computing is much more hugeness. And it is very difficult to get the result in a short time under the current hardware and software situation.

经典的潮流计算方法是采用牛顿拉夫逊法迭代计算，但是随着电力系统的规模的增大，计算量异常庞大，在现有的软硬件的很难在短时间内得到潮流计算的解。

In this thesis,the voltage stability boundary is the combined boundary which correspond to Saddle-node bifurcations and Hopf bifurcations.The closest Hopf bifurcation point is found through the proposed iterative method under the assumption that the Hopf hypersurface is continuous and convex.

因此在本论文中，在多维参数空间下，将稳定边界推广到鞍点和Hopf分岔点构成的混合稳定边界，探索性寻求Hopf分岔超平面的法向量，采用迭代算法求取系统发生最近振荡型电压失稳的负荷增长方式。

This paper discusses the nonlinear inversion algorithms instructively andmainlystudytwokinds ofnonlinearinversionalgorithms: SimulatedAnnealingConjugate Grads and Artificial Neural Network Genetic Algorithms, these two methods can decrease the iteration times and avoiddroppinginto the local extremum, we do the model calculation and confirm thevalidityofthealgorithm.

对非线性反演算法进行了有益的探讨，主要研究了两种非线性混合优化反演算法：模拟退火共轭梯度混合反演和神经网络遗传反演算法，两种混合算法都达到了减少迭代次数、避免陷入局部极值的目的，并进行了模型试算，验证了算法的有效性。

The Wilson-θ method is employed for time integration and the modified Newton-Raphson method is employed for equilibrium iteration in each time step.

时间积分采用Wilson-θ法，对每个时间步长的平衡迭代采用修正的Newton-Raphson 方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。