无约束的

Conjugate gradient method is a method for solving nonlinear optimization problems, especially large-scale problems.

共轭梯度法是求解无约束优化问题的一种重要的方法，尤其适用于大规模优化问题的求解。

On the other hand, if the damage position and the damage size are used for description of the structural damage, the mathematical model is actually stated as a discrete structural optimization problem with unknown number of design variables, since the number of damages can not be given in advance.

本文采用极大极小问题构造损伤识别的优化模型，通过凝聚函数将极大极小问题转化为一个目标函数连续可微的无约束优化问题，采用基于灵敏度分析的序列线性规划方法求解。

An modified BFGS algorithm to solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

An modified BFGS algorithm o solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

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。

In this paper, we start with a new formulation which is proposed based on the K-SVCR method. We then transform it as a complementarity problem and further a strongly convex unconstrained optimization problem by using the implicit Lagrangian function.

在本文中，我们首先在K-SVCR方法的基础上提出了新的模型，然后把新模型转化成一个互补问题，并利用Lagrangian隐函数进一步转化成一个强凸的无约束优化问题。

In this article, it is assumed that the market is incomplete, and the short-selling prohibition is added.

本文的研究结果表明，在我国存在卖空约束的市场中，运用传统的无套利定价方法，即Black-Scholes方法来为衍生产品定价，会明显高估其市场价值。

The superlinear convergence property of the algorithm is proved in this paper, and compared with the Tensor algorithm. It is proved that this method is more efficient for solving unconstrained optimization whose object function is of rank one defect.

文中证明了该算法是一个具有超线性收敛的算法，并且把修正的BFGS算法同Tensor方法进行了数值比较，证明了该算法对求解秩亏一的无约束优化问题更有效。

The algorithm is based on a reformulation of the complementarity problem as an unconstrained optimization. It is proved that the algorithm is globally convergent.

在将互补问题转化为一个无约束优化问题的基础上，给出了一种求解互补问题的混合方法，证明了该算法的全局收敛性。

In Chapter 4, a new algorithm for the solution of nonlinear complementarity problems is developed.

第四章对求解互补问题的可微的无约束优化法作了研究。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。