| 1. | The subject of the theorems, which today we would describe as maxima and minima problems, was novel in greek mathematics .
这些定理的主题就是今天所谓的极大极小问题，它在希腊数学里是新颖的。 |
| 2. | An effective algorithm for nonlinear constraint max - min problems
非线性极大极小问题的一个有效算法 |
| 3. | Solving nonlinear minimax problems by gray coding genetic algorithm
解非线性极大极小问题的格雷码加速遗传算法 |
| 4. | A nonmonotone line search algorithm for nonsmooth discrete minimax problem
关于一类非光滑极大极小问题的非单调线性搜索算法 |
| 5. | The learning process of rbf network is much faster and easier than that of bp network , and not existing local minimum areas
径向基函数神经网络的训练时间远小于反向传播神经网络，且不存在局部极小问题。 |
| 6. | Although the hcf algorithm is more accurate than the icm algorithm , it will cost more computer time . according to the simulation , the problem about local minima in this paper cannot be solved by this method
Hcf方法收敛的精确性是以牺牲算法的计算时间为代价的，并且，它也没有完全解决本文的局部极小问题。 |
| 7. | Firstly , the duality principle is used to change the linear program problem into the minimax problem , an interval extension of the adjustable entropy function is set up and its order of convergence is discussed
首先利用对偶理论将线性规划问题转化为极大极小问题，建立并讨论了调节熵函数的区间扩张及其收敛阶。 |
| 8. | In this thesis , we extend the entropy regularization method in two ways : from the min - max problem to general inequality constrained optimization problems and from the entropy function to more general functions
本文从两个方面发展了这种熵正则化方法，即将其从极大极小问题推广到一般不等式约束优化问题上和用一般函数代替熵函数作正则项，建立新的正则化方法。 |
| 9. | This dissertation studies mainly theories and according numerical implementation of a class of dual algorithms for nonlinear optimization problems , including unconstrained minimax problems and constrained nonlinear programming problems
本文主要研究非线性优化中的一类对偶算法，包括无约束极大极小问题的对偶算法和约束非线性规划问题的一类对偶算法的理论与相应的数值实现。 |
| 10. | We apply these dual algorithms to solve a large number of nonlinear optimization problems with relative small scale , including inequality constrained optimization problems , unconstrained minimax problems and general constrained optimization problems
用这些算法计算大量的规模不是很大的不等式约束优化问题，无约束极大极小问题，一般约束优化问题，数值结果表明它们是有效的 |
