迭代法

In this paper we introduce the hyperbolic cosine function and construct the new hyperbolic cosine penalty function and algorithms, further more, we construct the new hyperbolic cosine multipier penalty function .

本文在传统形式的罚函数基础上引入双曲余弦函数做罚项，构造了新的对于一般约束优化问题的双曲余弦罚函数和求解迭代公式；进一步地，又提出了求解具有等式约束优化问题的双曲罚函数乘子法。

In chapter 3, combining the traditional augmented Lagrange function and the hyperbolic cosine function, we construct a new hyperbolic penalty function multiplier method for the equality constrained optimization and deduced the iterative formulas, and proved the convergence under some conditions.

在第三章中，我们把传统的增广Lagrange函数和双曲余弦函数结合，构造了一类新的在等式约束下的双曲罚函数乘子法，推导出了双曲乘子迭代公式。

In image processing, method as follows will be introduced in this paper: a method combining image threshold iterative segmentation with threshold interpolation, edge detection operator Sobel and LoG, edge linking method using delation operator based on mathematical morphology, using boundary tracking and projection method in edge distill process. Through this method, measurement of wheelset will be met precision demand.

本文阐明了图像的分通道自动采集过程，以及对采集到的原始图像进行预处理过程，达到图像去噪声的目标，本课题采用了阈值分割中迭代阈值和阈值插值相结合的方法，Sobel算子、LoG算子边缘检测算法，基于数学形态学的膨胀运算子进行边缘断点连接以及目标提取中的投影法和边缘跟踪方法，使得提取轮对图像边缘达到测量精度的要求。

A practical cooling regime was established then, and a network with better performances was obtained by combining simulated annealing algorithm with gradient descent method.

将模拟退火算法与传统的梯度下降法结合，用于人工神经网络的优化与预测，得到了预测效果等与迭代时间性能更好的神经网络。

In addition, the transition from statistical optimization of simulated annealing to deterministic optimization of simplex method is also taken to shorten run time. Secondly, two methods are used to automatically synthesize cell-level analog circuits, which include equation-based method and simulation-based method.

具体来讲，采用对解空间进行划分、并多区间优化的方法来解决多维下降单纯形算法的全局优化问题；采用求解好的迭代起始点、并由"统计优化"向"确定性优化"过渡的方法来加速模拟退火法的收敛速度。

Based on initial condition, during certain time span, numerical analysis method of differential equation, algebra iteration and optimization method are used to solve response of generalized system and to analyze stability of generalized system.

从初始条件出发，在一定时间长度上，采用微分方程数值积分法、代数迭代和优化方法来求解系统响应，获得非线性广义系统稳定性的数值分析方法。

This multigrid solver is proven to provide the same accuracy as the finite element solution with respect to energy norm, and the computational complexity is suboptimal.

并证明用共轭梯度法作迭代算子时，该方法可以达到能量模意义下的最优，计算复杂度接近最优。

E. new extrapolation value s of finite element solutions on the first two level grids are used to provide the good initial value s on the third level grids and then an exacter finite element solution can be obtained by several CG-iterations.

摘要提出一种求解大规模有限元方程组的新外推多网格法，即用前两层网格上有限元的新外推值提供第3层细网格上的好初值，然后用几次CG-迭代能得到较准确的有限元解。

Linear constraints only the first iteration of the feasible direction method.

详细说明：线性约束条件的只需一次迭代的可行方向法。

In chapter 2, a finite element model for the composite sandwich plates is developed, based on the Zig-Zag deformation assumption and the first order shear deformation theory, and the finite element buckling analysis governing equations for the plates under mechanical, thermal and/or thermal-mechanical mixed loads are deduced respectively. By Von-Karman nonlinear deformation relations and Total Lagrange formulation, an incremental governing equation for postbuckling analysis is established and a corresponding effective computational scheme is presented..

第二章首先建立了基于Zig-Zag截面变形假定和Mindlin一阶剪切理论的夹层板有限元分析模型，分别推导了夹层板机械力、热载和热—机械力耦合屈曲分析的有限元列式和相应的屈曲前以及屈曲临界状态的平衡方程，基于Von-Karman大挠度理论，采用增量形式的全局lagrangian法推导了复合材料夹层板增量形式的几何非线性有限元离散平衡方程，给出了一种有效的非线性平衡方程的迭代求解格式。

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。