查询词典 gradient method

The content of our curriculum are:Optimization under unconstrained conditions and constrained conditions,we'll focus on common methods of this field like Conjugate gradient method,DFP,POWELL method,The multiplier method,Penalty Function Method and so on.

主要讲授内容为无约束条件及有约束条件下的优化设计，重点介绍了共轭梯度法，变尺度法，POWELL法，乘子法，惩罚函数法等电路优化的常用方法。

All the following process was done on the sub image. Second, the morphology gradient theorem and its converse theorem were both proved. And the DGT reverse theorem was used to look for the regional maxima points of the sub image. In the improved region growing method, the seeds were those regional maxima points.

然后证明了数学形态学的膨胀梯度定理(dilation gradient theorem， DGT)及其逆定理，并利用DGT逆定理查找图像的局部极大值点，将灰度值不为0的局部极大值点作为区域生长法的种子点。

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

Base on the mathematical equation: the quantity of conduction heat flex is equal to the product of heat conduction coefficient and gradient of temperature, we expect to obtain the result which is better than that of Transient Hot-wire Method and Steady-State Parallel-Plate Method, and simplify the strategy of measurement.

理论模式关系中，使用热传量等於热传系数与温度梯度乘积的比例关系式作为理论基础，目的在得到更优於暂态热金属线法(Transient Hot-wire Method)及稳态平行板法(Steady-State Parallel-Plate Method)的量测结果，同时也简化了量测方式。

A mixed method of conjugate gradient method and steepest descent method ;2. The Modified Steepest Descent Method──Best Point in Steepest Descent method;3. This paper presents the mathematical model for the optimization of heterogeneous components, and the method using sensitivity analysis and steepest descent method to optimize material properties, the component is then identified.

阐述了非均质材料零件设计优化的数学模型，并采用灵敏度分析以及最速下降法对其各个材料区域的材料性能进行设计优化，得到最佳材料性能参数后，再从非均质材料数据库中找到相应的工程材料，合成满足设计要求的非均质材料零件该方法为设计者提供了切实可行的非均质材料零件的材料设计方

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容，在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题，利用线性约束问题边界点的任意方向在边界上的投影都是可行方向，而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想，自从Rosen提出该方法以后，对它的收敛性问题不少人进行了研究，但一般都是对算法作出某些修正后才能证明其收敛的，直到最近对Rosen算法本身的收敛性的证明才予以解决。

Furthermore, we solve the user equilibrium problem by gradient projection method to obtain some additional path-based information. Since true OD trip demands are unknown, we conduct OD demand estimation and OD demand covering rate verification by the least square estimator.

在求解使用者均衡之交通量指派问题上，透过梯度投影法(Gradient projection， GP)求解，并获得以路径为基础的相关资讯；在流量倒推旅次起迄量的课题上，由於真实OD量未知，故使用基本的最小平方估计量，进行旅次起迄需求涵盖量的推估与检验。

LI Qi-He, LUO Yu-Pin, XIAO De-Yun1. Department of Automation, Tsinghua University, Beijing 100084A fast automatic image segmentation method is presented through the combination of gradient vector flow field and seeded region growing.

摘要通过将梯度向量流(Gradient vector flow， GVF)场与种子区域生长(Seeded region growing， SRG)法相结合，提出了一种快速的自动图像分割方法。

The solutions of ProblemⅠ,ⅡandⅢare discussed by using the generalized conjugate gradient method. When the equation is consistent, the solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found; When the equation is inconsistent, the least-squares solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are also found successfully. The generalized conjugate gradient method has the following traits:(1) It can judge automatically the information of solutions.

利用广义共轭梯度法，讨论了问题Ⅰ、Ⅱ和Ⅲ解的情况：当方程相容时，研究了方程的一般解、对称解、中心对称解、自反矩阵解、双对称解、对称次反对称解及其最佳逼近等问题；当方程不相容时，研究了方程的最小二乘一般解、最小二乘对称解、最小二乘中心对称解、最小二乘自反矩阵解、最小二乘双对称解、最小二乘对称次反对称解及其最佳逼近等问题。

By defining a matrix function and introducing a free matrix U, the pole assignment constraint is relaxed, and the gradient σ2/U and σ2 σ2[V-1]/U are obtained. Thus robust design can be achieved by gradient method. Examples show that this method is very effective.

通过定义一矩阵函数并引入新的自由变量U，可放松极点配置的约束，并能系统的推导σ2/U及(σ2·σ2[V-1])/U，从而将鲁棒设计转化为无约束的梯度法寻优，实例说明，本文设计方法的效果很好。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。