约束优化

In addition, we generalize the algorithm to solve linear constrained optimization problems and give good results.

另外将此算法推广求解线性约束优化问题，不需要将约束问题转化为无约束问题，获得了较好的实验效果。

In the more mature areas such as linear programming and unconstrained optimization, and in those of intermediate maturity such as integer and constrained convex optimization, emphasis will be placed on rapid, large-scale computation.

在那些更为成熟的如线性规划和无约束优化等领域和一些不太成熟的如整数和约束优化等领域，研究的重点将被放到快速的，大规模的计算上。

In this paper we introduce the hyperbolic cosine function and construct the new hyperbolic cosine penalty function and algorithms, further more, we construct the new hyperbolic cosine multipier penalty function .

本文在传统形式的罚函数基础上引入双曲余弦函数做罚项，构造了新的对于一般约束优化问题的双曲余弦罚函数和求解迭代公式；进一步地，又提出了求解具有等式约束优化问题的双曲罚函数乘子法。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

The DFP method is proved a officient one in processing unconstrainted optimization problem, so in this thesis, used the idea of mechanical structural optimization for reference analytically and extended modified formula of DFP—matrix to shape optimiation the DFP—Hamilton function method is put forward.

由于变尺度方法是有效的无约束优化方法，本文在分析的基础上借鉴了机械结构参数优化的思想，并将变尺度矩阵的修正公式扩展至形状优化中去，进而提出了变尺度—H函数极值法，并用其解决了梁、柱和复杂曲面的形状优化设计问题，取得了较好的效果。

An infeasible sequential system of linear equations filter algorithm is presented to solve this type of problem.

针对这种具有特定的等式约束优化问题，提出了一种求解不等式约束优化问题的不可行序列线性规划滤子方法。

To solve a heavily constrained optimization problem includes linear constraint conditions and non-linear constraint conditions, in this paper, a new comprehensive solution mechanism, based on specialized genetic operators, exact penalty function and initialization with multiple linear feasible solutions, is proposed.

针对一类同时具有线性约束条件和非线性约束条件的重约束优化问题，本文成功地综合采用了专门化遗传算子、精确惩罚函数及多个线性可行解初始化的求解方法，取得了很好的效果。

The method based on penalty function provides an effective way to solve complex constrained optimal problems for GA.

提出基于罚函数法的约束处理方法解决了CLSP的能力约束问题，也为复杂约束优化问题的遗传解法提供了一种有效途径。

Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.

对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。

In the process of the global search, as a niching genetic algorithm, crowding operator accepts the winner of the similar parent and offspring as a member of the next population based on Pareto dominance.

摘 要：分析了现有的约束优化进化算法的一些不足之处，提出了一种处理约束优化问题的新算法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。