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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
模糊逻辑提供和真人一样的能力概念化和推理，而一种进化算法是用来找最优解非线性和复杂的优化问题。
Fuzzy logic provides ability for human like conceptualization and reasoning, while evolutionary algorithms are useful for finding optimal solutions of nonlinear and complex optimization problems.
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.
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.
对一般非线性等式约束最优化问题提出了一种信赖域算法，其子问题较易求解。
In this paper, a trust region algorithm for general nonlinear equality constrained optimization problems, is presented. The solution of their subproblems is easy.
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.
非线性规划作为最优化理论的重要分支，其研究问题的领域和解决问题的方法自上世纪60年代以来是各学科关注的焦点。
As an important branch of optimization theory, nonlinear programming has always been research field which was universal concerned by various disciplines since the 1960s.
非线性规划作为最优化理论的重要分支，其研究问题的领域和解决问题的方法自上世纪60年代以来是各学科关注的焦点。
As an important branch of optimization theory, nonlinear programming has always been research field which was universal concerned by various disciplines since the 1960s.
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