查询词典 dual problem

And we also study the attainability of this LQ problem via a semi-definite programming and its dual problem.

另外，我们还利用一类半定规划及其对偶问题来研究这类控制问题的最优控制。

A differential equation is introduced to construct canonical dual function. The corresponding perfect duality theory is established to show the relationship between the KKT points of the primal problem and the canonical dual problem.

通过引入常微分方程和构造Canonical对偶函数的局部形式，引入了相应的对偶定理，勾勒出了原问题的KKT点和对偶问题的KKT点两者之间的关系。

All of these applications show that study on conic optimization is necessary. For detail, we conclude them as follows:The models, foreign and internal study situations on conic optimization and its dual problem are introduced in Chapter one, and we point out the key problem and research matter.Chapter two introduces some primary properties of a cone and its dual cone.

第二部分是应用实践：将所提出的锥规划及其对偶锥规划应用在各个领域，例如最小二乘问题、多项式求解、协方差矩阵估计，以及在其它方面的运用，这些应用无不显示出研究锥规划的必要。

Based on the usual sulotion of the problem, we give the form of dual problem of the fuzzy linear programming. Finally, we give a theorem about it.

在带模糊约束线性规划的求解方法基础上，提出了它的对偶问题的形式及相关的定理。

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 the second chapter, this problem is converted into a dual problem, i.e.

第二章把原规划转化为一个对偶问题，即无约束极大化问题，推广和证明了这个对偶问题的一些性质和基本定理。

This paper analyzes the relation between the generalized moment problem and its dual problem, and gives the solution to some generalized moment problems.

分析了广义矩问题及其对偶问题的关系，获得了求解广义矩问题的方法。

Since the sub-problem is strict convex and separable, the dual problem is especially effective for large scale problem.

由于我们得到的子问题是严格凸和可分的，从而获得的对偶问题简单易解，因此这一方法尤其适合处理大规模问题。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

In this paper, we propose a general model of a class of Lagrangian dual problem for the general nonlinear programming problem with respect to some Lagrange-type functions. We obtain that the zero duality gap exists between this class of Lagrangian dual problem and the primal problem.

针对一般的非线性规划问题，利用某些Lagrange型函数给出了一类Lagrangian对偶问题的一般模型，并证明它与原问题之间存在零对偶间隙。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。