拉格朗日函数

词组短语

Lagrangian function · lagrange function

与拉格朗日函数相关的网络例句 [注：此内容来源于网络，仅供参考]

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数，将逆问题表示为约束最小化问题；接着应用罚函数法转化为无约束最小化问题；然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数；最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

In this paper,the author introduced an approximate augmented Lagrangian function in nonlinear programming,established dual mapping and the related dual problem of this augmented Lagrangian function and obtained the results of approximate strong duality and approximate weak duality of original problems.

介绍了非线性规划中的一种近似增广拉格朗日函数，建立了基于这种增广拉格朗日函数的对偶映射和相应的对偶问题，得到了原问题和对偶问题的强近似对偶和弱近似对偶结果。

In this paper,we psesented that the principle of least action or Hamilton principle is ample and necessary condition of Lagrangian equation,pointed out the properties of Lagrangian function briefly,and gave the generalization and application of Lagrangian function in physics.

本文论述了力学最小作用量原理或哈密顿原理是拉格朗日方程的充分必要条件，简述了拉格朗日函数的性质，指出最小作用量原理及拉格朗日函数在物理学中的推广及应用。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

We establish a Lagrange multiplier theorem for strict efficiency in convex settings and express strict points as saddle points of an appropriate Lagrangian function.

讨论凸多目标最优化问题的严有效解，建立了拉格朗日乘子定理，并把严有效解表示为一个适当的拉格朗日函数的鞍

The Augmented Lagrangian function defined in this paper guarantees good behavior of the Newton method when minimizing the augmented Lagrangian function.

本章定义的增广拉格朗日函数能保证极小化广义拉格朗日函数时牛顿法的好的表现。

In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.

介绍了几种近似最优解和增广拉格朗日函数，建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题，讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系，得到的结果推广了一些已有的结论。

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

Under suitable assumptions, the relationship is established between the unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the space of problem variables and the solution of the original constrained problem, and a relationship is also presented between the unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers and the solution of the original constrained problem.

在适当的条件下，我们建立了Hestenes-Powell增广拉格朗日函数在原问题变量空间上的无约束极小与原约束问题的解之间的关系，并且也给出了Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上的无约束极小与原约束问题的解之间的一个关系。

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

在适当的条件下，我们建立了Hestenes-Powell 增广拉格朗日函数在原问题变量空间上的无约束极小与原约束问题的解之间的关系，并且也给出了Hestenes-Powell 增广拉格朗日函数在原问题变量和乘子变量的积空间上的无约束极小与原约束问题的解之间的一个关系。

与拉格朗日函数相关的网络解释 [注：此内容来源于网络，仅供参考]

approximation calculus：近似计算

approximation近似 | approximation calculus近似计算 | approximation of lagrange function拉格朗日函数近似

lagrangian formalism：拉格朗日形式论

lagrangian 拉格朗日算符 | lagrangian formalism 拉格朗日形式论 | lagrangian function 拉格朗日函数

lagrange's theorem：拉格朗日定理

拉格朗日方程[式] Lagrange's equation | 拉格朗日定理 Lagrange's theorem | 拉格朗日函数 Lagrangian

Lagrangian function：拉格朗日函数

劳斯方程 Routh equation | 拉格朗日函数 Lagrangian function | 诺特定理 Noether theorem

augmented Lagrangian function：广义拉格朗日函数

增强拉格朗日接触算法:Augmented-Lagrange Contact Algorithm | 广义拉格朗日函数:augmented Lagrangian function | 飞机燃油系统:Aircraft fuel system

Lagrangian multiplier：拉格朗乘数

Lagrangian function :拉格朗日函数 | Lagrangian multiplier :拉格朗乘数, | land :土地 law :法则

Lagrangian multiplier：拉格朗日乘数

lagrangian function,拉格朗日函数,好复杂. | lagrangian multiplier,拉格朗日乘数 | law of demand and supply,供需法

laguerre differential equation：拉盖尔微分方程

lagrangian operator 拉格朗日算符 | laguerre differential equation 拉盖尔微分方程 | laguerre function 拉盖尔函数

laguerre function：拉格耳函数

拉格朗日表示法 Lagrangian representation | 拉格耳函数 Laguerre function | 拉格耳多项式 Laguerre polynomial

generalized Laguerre function：广义拉盖尔函数

generalized Lagrange invariant 广义拉格朗日不变量 | generalized Laguerre function 广义拉盖尔函数 | generalized Laguerre polynomial 广义拉盖尔多项式