课程描述：对非线性最优化问题的统一解析和计算方法。
Course Description: a unified analytical and computational approach to nonlinear optimization problems.
经过推导，把一个四维带约束非线性最优化问题转化为一个二维无约束非线性最优化问题，并给出了求解过程。
After transforming the nonlinear optimal problem of four degrees of freedom with constraints to a nonlinear optimal problem of two degrees of freedom without constraints, the solution is given.
论述了基于遗传算法的图像恢复方法，提出了将模拟退火法和遗传算法相结合求解图像非线性最优化问题的算法。
On the basis of introducing the existent blind deconvolution image recovery algorithm, a maximum likelihood image recovery algorithm deduced from probability statistical is presented in this paper.
当考虑到发电机报价曲线的影响时，发电计划偏差优化问题是一个高维、离散、约束条件复杂的非线性最优化问题。
Considering the generators bidding prices curves, the generation scheduling error optimization problem is high dimensional, disperse, complex constrained, non-liner problem.
把BFGS方法与混沌优化方法相结合，基于混沌变量提出一种求解具有变量边界约束非线性最优化问题的混合优化方法。
Combining the BFGS method with the chaos optimization method, a hybrid approach is proposed to solve nonlinear optimization problems with boundary restraints of variables.
电力系统机组组合问题是一个典型的大规模混合整数的非线性组合优化问题，很难得到理论上的最优解。
Power system unit commitment, a problem of nonlinear commitment optimization with typical large-scale hybrid integers, is difficult to get an optimal solution in theory.
针对不确定分段线性系统，将最优控制设计问题转化成最优控制性能上界的优化问题及性能下界的求取问题。
The optimal control design for the uncertain piecewise linear system has been converted to the problem of optimizing upper bound and seeking lower bound of the optimal control performance.
地震反演问题常常需要一些非线性全局最优化的方法。
Seismic inversion problems must be solved by non linear global optimization methods.
最优化也包括解决大规模，离散，非线性，多目标和全球化问题的技术。
Optimization also involves techniques for solving large-scale, discrete, nonlinear, multiobjective, and global problems.
第3章给出了广义模式搜索算法对线性等式约束最优化问题的一个新解法，并证明了这种算法的全局收敛性。
Chapter 3 constructs a new generalized pattern search method for linear equality constrained optimization problems and gives the proofs of the global convergence.
科学领域，工程领域和经济领域都涉及到很多复杂的、非线性的甚至非凸形式的最优化问题。
Many scientific, engineering and economic areas involve the optimization of complex, nonlinear and possibly non-convex problems.
文章将遗传算法用于测井解释中，研究多参数、非线性最优化测井数据处理问题。
It is used for multi parameter and nonlinear optimized data processing in log interpretation.
该算法由于无需体系的先验知识，是一种全局最优化方法，能有效地处理复杂的非线性问题，因此有着广阔的应用前景。
The application of GA needs no initiating knowledge of the system, and therefore, is a comprehensive optimization method with extensive application in terms of processing complex non-linear problems.
以二元件均衡器为链接模型，以非线性最小二乘法为最优化方式，解决了多节均衡器链接中初始参数值的选取问题。
Taking two-element equalizer as a link model, taking nonlinear least square method as optimum mode, selection problem of initial parameters in multiple node equalizer links is solved.
本文把最小外接球的评定问题表述为非线性约束最优化问题，并采用有效约束技术求得精确的最优解。
The equations of nonlinearly constrained optimization are presented for the evaluation of the minimal circumscribed sphere.
线性搜索方法和信赖域方法是保证最优化问题的整体收敛性的两种基本策略。
Both line search and trust region algorithm are well-accepted methods in the optimization to assure global convergence.
文摘：地震反演问题常常需要一些非线性全局最优化的方法。
Abstract: Seismic inversion problems must be solved by non-linear global optimization methods.
对于一般的无约束最优化问题及其特殊情况非线性最小二乘问题而言，信赖域方法是一种有效的方法。
Trust region method is a kind of efficient methods to solve the general unconstrained optimization and its special situation, the nonlinear least squares problems.
多周期线性规划模拟系统（ PPIMS）可解决最大限度地发挥有限资源的最优化问题。
Multi-Period Process Industry Modeling System (PPIMS) can be used in optimized application of limited resources.
其中引入了线性数学规划方法求解最优化问题。
The optimization problem is solved by linear programming technique.
对非线性不等式约束最优化问题进行了讨论，借助广义投影建立求解问题的一个含系列自由参数的统一算法模型。
Optimization problem with nonlinear inequality constraints is discussed. With the help of the generalized projection, a unified algorithm model with a series of free parameters is presented.
复杂系统可靠度最优分配问题是一个具有多局部极值的非线性的优化问题。
An optimal apportionment of reliability problem of complex system is a nonlinear optimization problem with a large number of local extreme values.
采用线性矩阵不等式技术，将问题转化为一线性凸优化算法，可得问题的全局最优解。
Using the linear matrix inequality (LMI) technique, the problem is converted into a linear convex optimization algorithm so that a global optimization solution is obtained. Finally.
将非线性规划问题的单纯形加速法用于混合酸的线性滴定计算，同时优化酸浓度及有关条件常数，求出酸浓度的最优解。 讨论了影响单纯形法计算速度的因素。
The simplex optimization method about nonlinear programming problem has been used in the mixed acid linear titration and the effect of various factors on computative speed has been discussed.
电源优化问题具有高维数、非线性、随机性等特点，常规的优化算法难以求解到最优解。
The generation expansion optimization is high dimension, nun-linear, randomness problems. The convention algorithm hardly finds the best solution.
该非线性优化问题用渐进外逼近算法可求出其全局最优解。
The sequential outer approximation approach can give a global optimization solution to the original problem.
测量上有许多极值问题，如各种准则下的平差，权的最优分配，网的优化方案等，多可归于线性极值问题，且多不适用寻常数学解法。
There are many extreme problems in surveying, like the optimal distribution of weight, optimal design of networks, the method of least absolute sum etc.
本文给出非线性不等式约束最优化问题的一个初始点可任取的算法。
This paper presents an algorithm for nonlinear inequality constrained optimization problems which begins at any starting point.
针对前面提出的非线性最优控制问题与非线性优化问题，分别构造了相应的算法。
For above nonlinear optimal control models and nonlinear optimal problem, corresponding algorithms arc formed.
针对前面提出的非线性最优控制问题与非线性优化问题，分别构造了相应的算法。
For above nonlinear optimal control models and nonlinear optimal problem, corresponding algorithms arc formed.
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