约束极小化

The Hestenes-Powell augmented Lagrangian function has been used for solving inequality constrained optimization problems via unconstrained minimization techniques.

增广拉格朗日函数法是用无约束极小化技术求解约束优化问题的一类重要方法。

In this paper, the Hestenes-Powell augmented Lagrangian function is again considered, for solving equality constrained problems via unconstrained minimization techniques.

本文对用无约束极小化方法求解等式约束非线性规划问题的Hestenes-Powell增广拉格朗日函数作了进一步研究。

After that, the model was applied to continuously differentiable optimization and nonlinear or implicit complementarity problems.

此外，还将所研究的模型应用于闭凸约束极小化问题以及非线性互补问题和隐互补问题中，并通过数值模拟说明了该神经网络方法的有效性。

In Chapter 4, the related mathematical knowledge, methods and principles are presented which include mathematical morphology, Fourier transform and discrete cosine transform, illposed problem and corresponding regularization methods, basic iteration methods and preconditioning technologies.

回顾并比较了传统线性和非线性滤波方法，详细综述了从变分到PDE在图像滤噪与模糊恢复上的应用和发展，模型基本形式为无约束极小化问题：〓（1）惩罚算子L扩散形式为〓（2）Κ为扩散项，是调整扩散程度的关键因子。

This paper adopts Powell′s direct search method and sequential unconstrained minimization technique in the multiple-object optimum rigidity of open-back inclinable press.

本文采用 Powell 直接搜索法和序列无约束极小化技术，对开式压力机的刚度进行了多目标优化设计，所得结果表明，采用本文介绍的优化方法对提高开式压力机的精度效果明显。

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

Thereinto, quadratic interpolation is uesed in undimensional search, and Powell arithmetic is used to solve unconstrained minimziation.

其中，利用二次插值法进行一维搜索，选用Powell算法进行无约束极小化求解。

In this thesis, we consider some topics about the nonmonotone trust region method for unconstrained minimization problems.

本文主要讨论了求解无约束极小化问题的非单调信赖域方法的相关论题。

So it is necessary to optimize the luffing mechanism seriously.Sequential Unconstrained Minimization Technique is an indirect optimization method.

惩罚函数算法，即序列无约束极小化方法。

It is known that the VIP can be reformulated as an unconstrained minimization problem through the D-gap function.

我们知道，通过广义D-间隙函数，可以将变分不等式问题转化为一个无约束极小化问题。

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。