迭代过程

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

This new method not only reduces the compute, but also needs not apriority information of the targets compared with Wishart classifier.

该迭代方法与基于Wishart距离的迭代分类方法相比，不需要矩阵的求逆运算和矩阵的对数运算，降低了迭代过程的计算量，也不再需要目标的先验信息，扩展了其适用范围。

But ECT technology has the following characteristics: 1 the measured capacitance and its change induced by the measured material concentration variation are very small, but the stray capacitances of co-axial screening cable and CMOS switches are relative very large, so the capacitance detecting is easily affected by the stray capacitances, 2 the electric fields in the sensors detecting region is affected by the permittivity distribution, non-uniformity of the space responsive sensitivity is very high, and the image reconstruction is undetermined.

但由于ECT技术中，首先所检测的微电容量及其因物流相含率的变化所引起的变化量很小，而由相关的连接同轴屏蔽电缆与切换CMOS开关所引入的杂散电容远远大于测量电容，微电容的测量容易受杂散电容等的影响；其次，多电极电容传感器测量区内的电场受介质分布的影响，且测量区内的空间响应灵敏度极不均衡，其影响图像重建的不确定性；其三，ECT中的图像重建，由于其是一个欠定问题的求解，在迭代求解方法中，迭代的初值影响迭代过程收敛到近似解的速度；其四，对于气/固两相流应用而言，由于ECT系统在线标定的难以实现，管壁磨损等因素的影响制约该技术应用于生产工艺中气/固两相流的长期连续检测。

It usually has a so-called superlinear convergence behavior. The rate of convergence seems to improve as the iteration proceeds. For another say, the rate of residual variable will be improved as we increase its iteration.

GMRES算法在迭代过程中通常表现出一种加速收敛行为，随着迭代次数的增加，这种加速收敛现象越明显，即残量收敛会随着迭代步数的增加而逐渐得到改善。

By using K-ε twoequation model to modify turbulent flow, the simulation results could coincide better with the real filling processes. Combined flow path analytical program which was used to revise the ingate velocity, it increased the accuracy effectively, and raised the calculating velocity.

该软件首次采用非均匀网格剖分技术，更为逼真地反映了铸件的几何形状；耦合计算过程中，采用简化耦合算法，避免了繁复的迭代过程，缩短了迭代时间，且计算精度能满足工程要求；采用K-ε双方程紊流模型对紊流流动进行修正，模拟结果更加符合实际充型过程；联合流路解析程序修正内浇口入流速度，有效地提高了计算精度，加快了计算速度。

In the probabilistic model for wind farm, the uncertainties of wind speed is takes into account, and the real power injected and reactive power absorbed by the wind turbine are described as the function of the voltage magnitude, the slip of the induction machine and the circuit parameters of the wind turbines. In the unified iteration method, the slip of induction machine is introduced as the new correction value. The Newton-Raphson algorithm is used to solve the unified iteration of state variable and slip. Thus, the proposed method retains the quadratic convergence of the Newton-Raphson algorithm.

该风电概率模型考虑风速的随机性，将风机输出的随机有功功率和吸收的随机无功功率描述为电压幅值、异步机的滑差和风轮机的电路参数的函数；联合迭代方法中，异步风力发电机的滑差作为新的修正量被引入，使用牛顿-拉夫逊方法求解关于潮流状态变量和滑差的联合迭代，加热器因而迭代过程保持了牛顿-拉夫逊方法的平方收敛性。

The paper proposes a method which uses iteration learning control theory to design correction signal to self servo-writing loop. And the correction process can be used to conditions which precision model of plant can\'t be got. The convergence of iteration process can be proved by theory and experiments.

研究发现，自伺服刻写径向误差消除的过程很类似于迭代控制过程，提出用迭代学习控制算法设计自伺服刻写环路的校正信号，并从理论上证明该校正过程能够很好适应无法获取精确致动器模型的情况，证明了迭代过程的收敛性，实验证明径向误差得到较好抑制。

A new auto-stepping scheme based on the curvature of the solution curve is proposed, with which the course of tracing the nonlinear solutions will become more reasonable and more efficient.

对增量-迭代过程当中的弧长控制方法和迭代方法分别进行了深入研究，取得的成果有：1）提出一种新的弧长控制方案，消除了以往方案存在的漏洞。2）提出一种基于解曲线曲率的自动走步方案，使得整个的非线性追踪过程合理化，从而极大地提高了效率。

The algorithm is implemented by a three-stage iterative process. At the first stage, an iterative block matching algorithm is applied to generate more accurate initial disparity vectors, and at the second stage, an iterative polygon matching algorithm is employed to optimize the initial disparity vectors obtained at the first stage to minimize the error of certain triangulations. Finally at the third stage, the unreliable nodes are deleted.

该方法是一个三步迭代过程：首先利用迭代块匹配算法得到较精确的匹配结果；然后利用迭代多边形匹配算法对得到的匹配结果进行优化，使得一些三角形的预测误差最小；最后删除掉视差不可靠的节点。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。