等式约束

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。

The function of each part of genetic algorithm is analyzed in application to nonlinear unconstrained and constrained optimization.

分析了遗传算法各主要组成部分的功能，研究了遗传算法在非线性无约束和等式约束优化问题中的应用。

This paper presents a new optimized neural network for nonlinear convex programming problems with both quality and inequality constraints.

目的 为解决一类同时含有等式约束和不等式约束的混杂约束的非线性规划问题。

Based on the primal-dual logarithmic-barrier method, a new algorithm for convex quadratic programming with equality and non-equality constrains is discussed.

在此基础上提出了求解带有等式约束和不等式约束的凸二次规划的牛顿内点算法。

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。

Since any equality constraint is equivalent to two inequality constraints, the algorithm LTR can be used for solving nonsmooth optimization problems with equality and inequality constraints.

同时，由于等式约束等价于两个不等式约束，故算法LTR也适合于求解带一般线性约束的非光滑优化问题。

This paper introduces least squares estimation into SVM and deduces least squares support vector regression algorithm,which applies equality constraint instead of inequality constraint of SVM and makes it easier to obtain solutions.

探讨了将最小二乘估计引入到支持向量机中，给出最小二乘支持向量机回归算法，该算法用等式约束代替传统支持向量机回归中的不等式约束，使得求解过程更为简单。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

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。

To inequality constraint s, a check procedure and a penalty function procedure are proposed, and equality constraints are dealt with by a procedure of solving equations in which tear equations may be converged by an iterating way or a penalty function way.

在无约束非线性规划问题全局优化的模拟退火算法基础上，进行有约束问题求解的进一步探讨，对不等式约束条件提出了检验法和罚函数法的处理方法，对等式约束条件开发了罚函数法和解方程法的求解步骤，并进行了分析比较，从而形成了完整的求取非线性规划问题全局优化的模拟退火算法。

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。