本文简略介绍了使用乘子法解有约束极小问题的一个算法。
In this paper, an algorithm of multiplier method for the constrained minimization problems is introduced.
作为应用，我们研究了极大极小问题和广义经济平衡问题。
As applications, we utilize the results to study the minimax problem and the equilibrium problem for generalized economy.
第3章给出无约束极大极小问题的一个对偶算法的收敛理论。
Chapter 3 is devoted to the study of the convergence theory of a dual algorithm for unconstrained minimax problems.
就非线性极大极小问题，阐明了极大熵方法与指数罚方法的关系。
The relation between the maximum entropy method and the exponential penalty function method is analysed in this paper.
因此，模型初始值的选取比较重要，好的初值可以避免局部极小问题。
So, the selection of initial value of the model is important, and good initial value could avoid locally minimal solution.
用继电器自整定法确定PID参数的初值，防止神经网络的局部极小问题。
The initial PID parameter value is determined by the relay auto-tuning method, so the part minimum problem of the neural network can be prevented.
另一方面，机器人的路径也同时得到优化，克服了人工势场法的局部极小问题。
On the other hand, the path obtained by the artificial potential field method is optimized by the ant algorithm, which overcomes the local minima problem in the artificial potential field method.
极大极小问题是一类不可微优化问题，熵函数法是求解这类问题的一种有效算法。
Minimax problem is a sort of non-differentiable optimization problem and the entropy function method provides a efficient approach to solve such kind of problems.
讨论一类带约束的极大极小问题并给出一个广义投影型的算法，利用问题的特性而使算法有较简单的结构。
In this paper, a type of Min Max problem with constraints has been discussed and a generalized projection method has been given for solving this problem.
提出了一种改进的势场函数，并对改进势场函数的规划方法进行分析，发现该方法并不能完全解决局部极小问题。
The matters what leads to failure in the planning of traditional APF because of the local minimum problem is discussed, and an improved artificial potential method is proposed.
本文分析了传统的人工势场法由于局部最小问题而导致规划失败的原因，对可能产生局部极小值区域的障碍物外部几何形状进行分析。
Analysis of the traditional artificial potential field failed in path planning due to the local minimum and the possible local minimum area of the external obstacles on the geometry.
本文分析了传统的人工势场法由于局部最小问题而导致规划失败的原因，对可能产生局部极小值区域的障碍物外部几何形状进行分析。
Analysis of the traditional artificial potential field failed in path planning due to the local minimum and the possible local minimum area of the external obstacles on the geometry.
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