拉格朗日问题

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。

The Hestenes-Powell augmented Lagrangian function has been used for solving inequality constrained optimization problems via unconstrained minimization techniques.

增广拉格朗日函数法是用无约束极小化技术求解约束优化问题的一类重要方法。

In this paper, the Hestenes-Powell augmented Lagrangian function is again considered, for solving equality constrained problems via unconstrained minimization techniques.

本文对用无约束极小化方法求解等式约束非线性规划问题的Hestenes-Powell增广拉格朗日函数作了进一步研究。

With Lagrange multiplier ,Dirichlet boundary conditions are imposed along the essential boundaries.

在有限元三维20结点单元构成的空间网格上构建流形覆盖和权函数，采用拉格朗日乘子法施加位移约束条件，推导了分析静态问题的计算列式。

Through the polynomial approximation to function, resulting in more than a Peano-type and Lagrange remainder of the Taylor formula, using elementary functions Maclaurin expansions to address the limits and the approximate evaluation of the problem.

通过多项式来逼近函数，从而得到带有佩亚诺型余项和拉格朗日余项的泰勒公式，利用初等函数的麦克劳林展开式来解决极限及近似求值的问题。

In the dissertation, meshless element free Galerkin method which utilizes moving least square is used for solving heat transfer problems. Lagrange multiplier method is used to deal with the essential boundary condition. Some parameters in element free Galerkin method, which influence the precision, are also discussed in the numerical simulation. The adaptive method of meshless method is also stated.

本文采用了基于移动最小二乘近似的无网格伽辽金法计算了热传导问题，采用拉格朗日乘子处理本征边界条件；讨论了无网格伽辽金法各个计算参数在数值模拟中对计算精度的影响；并对无网格的自适应方法进行了研究。

This paper introduce Lagrange multiplier method and its expandings first, and show the necessary condition of Multivariate function's extreme value, and use it to solve the Multivariate function's extreme value problem.

本文首先介绍了拉格朗日乘数法及其拓展，给出了多元函数条件极值的必要条件，并利用它求解了多元函数的条件极值问题。

By reviewing of the existing algorithms in CGE model, such as Scarf fixed point method, Newton-Raphson method, Tatonnement method, Johanson-Euler method, projected Lagrange method, genetic algorithm and simulated annealing algorithm, this paper expound each algorithm's principle and main problems, pointed out their respective strengths and weaknesses, and finally made a detailed comparative analysis.

本文通过对现有的求解算法进行综述，包括传统的Scarf不动点算法、牛顿迭代法、Tatonnement算法、Johanson-Euler法、投影拉格朗日算法，以及近期兴起的遗传算法和模拟退火算法，扼要说明它们的求解原理及存在的问题，指出各自的优缺点并作了详尽的比较分析与探讨，对于致力于推进CGE建模与仿真求解技术瓶颈突破的研究者们具体重要的参考意义。

It is difficult to solve the optimal iteration step and Lagrange multiplier in the gradient optimal power flow solutions. The saddle node iteration method was applied to solve the above problems based on a certain supposition.

在梯度法最优潮流的求解过程中，确定不等式约束的拉格朗日乘子以及求取最优步长等比较困难，文中在采取一定假设的基础上，运用鞍点迭代算法进行上述问题的求解。

With a rational dynamic model established on basis of the structural features and constraining conditions of the annular plate installation and through Duhamel＇s integral solution of Lagrange motion equation, the impact load and dynamic response of surface casing cementing unit induced from the cementing operation have been analyzed.

根据表层固井环板装置的结构特点和约束条件，建立了合理的力学模型，应用杜哈默积分求解拉格朗日运动方程的方法，对固并碰压状态下承受冲击载荷及其动力响应问题进行了分析。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新