查询词典 nonlinear optimization

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Considering the fact that the self constraints of the design variables can be formulated as the linear functions in the present process optimization, the nonlinear part of the constraints is dealt by introducing the concept of active constraint set. The linear part is dealt by the gradient projection method specially.

同时考虑到现在的优化求解问题中，设计变量自身的约束可以合理地表示成线性函数的形式，因此对于优化问题的非线性约束部分，通过引入活动约束集的概念进行处理；而对于线性边界约束，则采用梯度投影法作专门处理。

By use of first-order linear expansion of Taylor series, the linearization process of both nonlinear constraints and objective function of long-term optimal scheduling model are performed and an optimal scheduling model based on seccessive linear programming is built; an approach to solve Optimal scheduling of cascade hydropower station problem by seccessive linear programming is put forward, the scale-down factor of iteration step length is used to ensure that the algorithm can converge to the optimal solution of optimization problem quickly and accurately.

通过采用泰勒级数一阶描述形式，对优化调度目标函数和约束条件中的非线性约束进行线性化处理，建立了基于连续线性规划算法的优化调度数学模型，提出了用连续线性规划技术求解梯级水电站优化调度问题的算法，并采用迭代步长的动态比例缩减因子保证算法能快速准确地收敛到优化问题的最优解。

Based on Spall,the Neural Network that concealed level can automatically increase is adopted to control the Neural Network structure and it can realize optimization control of unfounded nonlinear random system.

因为系统模型未知，本文在Spall［1］的基础上采用了隐层能自动增加的神经网络，通过实时的对神经网络的结构进行控制，可以实现对未建模型的非线性随机系统的最优控制。

The approach for gross error detection based on neural network is introduced. Compared with conventional approaches which are based on optimization technique and statistical methods, This method has the advantages of simpleness, fitting online use and dealing with nonlinear problem effectively.

初步研究了基于神经网络的显著误差侦破方法，该方法具有简单、计算量小和适于在线应用的优点，并且相对于传统的最优化和统计理论相结合的方法具有处理非线性问题能力较强的特点。

Compared to optimization/statistical methods, POCS has a unique framework and could handle nonlinear problems, which makes it very successful in image restoration and image sequence superresolution problems.

凸集投影算法(projection onto convex sets， POCS)是求解这一类问题的强有力的工具，与基于最优化/统计的方法相比，凸集投影算法可以处理非线性问题，并且有统一的理论框架。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

By combining the one dimensional search procedure in the determinate nonlinear programming problem with the stochastic approximation procedure, a new yield optimization algorithm is proposed and the rate of convergence is increased.

将确定性非线性规化问题求解的一维搜索过程与随机逼近搜索过程结合，提出了一种全新的合格率优化算法，进一步提高了合格率优化过程的收敛速度。

High CFRD ; observational deformation ; nonlinear uncouple K\|G model ; feedback analysis ; optimization of temporary section

高面板堆石坝；实测变形；非线性解耦KG模型；三维反馈分析；临时剖面优化

Variational inequality problem is one of the most important optimization problems, it arises in a widely fields of signal processing, system identification, filter design, robot control, economic science, transprotation science, operational research, and nonlinear analysis fields.

变分不等式问题是一类重要的优化问题，它广泛地出现在信号和图像处理、系统识别、滤波设计、自动控制、经济科学、运输科学、运筹学，非线性分析等领域。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。