约束优化

In the second step,the parameters estimated in the first step are improved iteratively through a nonlinear optimization,based on the coplanarity condition,taking into account camera distortions.This works well if there are three sets of parallel lines independently in the view scene.

该标定方法分为两步：第一步标定相机内方位元素：由三灭点定理确定体视相机的初步标定参数；第二步标定实际流场：利用同源像线与基线必定确定一平面作为优化约束，对第一步取得的参数进行非线性优化。

Considering the characteristics of the operating process optimization for high-temperature cyclic loads a new method was developed to solve the nonlinear optimization problem.

并结合高温循环载荷作用下运行过程优化的特点，提出了一个新的考虑活动约束集的非线性优化求解方法。

The content of process optimization include four parts: the choice of decision variable; the determination of object function; the establishment of constraint condition and the choice of optimization algorithm.

过程优化问题需要解决决策变量的选取、确定目标函数、建立约束条件、选择优化算法等四个方面的问题。

A deterministic global optimization algorithm based on Lagrangian dual is proposed for solving the nonconvex quadratic programming with nonconvex quadratic constraints, which is often encountered in technical design and operational research.

针对带有非凸二次函数约束的非凸二次规划问题，提出了一个基于拉格朗日对偶的确定型全局优化算法，这类优化算法可广泛应用于工程设计和非线性系统的鲁棒稳定性分析等实际问题中。

The previous applications of Hopfield model were restricted to problems with 0-1 discrete design variables and liner programming problems.

本文进一步探讨了Hopfield网络求解约束非线性优化问题的方法，并将其应用于4杆桁架的结构优化设计。

Wanka studied two kinds of dualproblem in finite dimensional space, namely, an extended Fenchel type and Fenchel-Lagrange dual based on the conjugate theorem in convex optimization problem.

Wanka利用有限维空间中凸优化问题的共轭理论，研究了两类对偶问题，即广义Fenchel对偶问题和Fenchel-Lagrange对偶问题，后者是经典Fenchel和Lagrange对偶问题的组合，二者都是在扰动理论基础上产生的，还提出了一个约束条件保证其凸优化问题中强对偶成立。

W anka studied two kinds of dualproblem in finite dimensional space,namely,an extended Fenchel type and FenchelˉLagrange dual based on the conjugate theorem in convex optimization problem.The latter is a"combination"of the classical Fenchel dual and Lagrange dual,which are based on perturbation theory.Then they introduced a constraint qualification whose fulfillment is sufficient in order to guarantee strong duality.

W anka利用有限维空间中凸优化问题的共轭理论，研究了两类对偶问题，即广义Fenchel对偶问题和FenchelˉLagrange对偶问题，后者是经典Fenchel和Lagrange对偶问题的组合，二者都是在扰动理论基础上产生的，还提出了一个约束条件保证其凸优化问题中强对偶成立。

Furthermore, parameter optimization design of the compensation system was carried through based on thermal and electromagnetic force analysis.

在磁场力、热分析的基础上对补偿系统进行参数优化设计，得到各个参数对磁场力的影响，建立了在一定约束限制下，以电磁力为目标的参数可视优化设计的数学模型。

This model is a non-linear constraint program, and the feasible direction search algorithm is applied to solve the model.

采用分析优化方法，探讨了公共交通的实际乘客需求及票价成本收益，并以此为基础建立了以社会福利最大化为目标的发车间隔和票价综合优化模型，确定该模型为非线性约束最优值规划，应用可行方向法对模型进行了求解。

Then, taking the coordinates of every gemel as the optimization variables, the optimization analyses with the improved constrain terms, aiming to the load on the leaf spring and the structure of mechanism, is applied on the four-bar linkage mould oscillation mechanism and the single-leaf spring oscillation mechanism.

本文介绍了连铸结晶器的振动装置的发展，并以各铰链点位置坐标为优化变量，针对板簧受力和整体结构，给出相应的约束条件，对四连杆振动装置和半板簧振动装置进行了优化分析。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。