优化问题

Now, the rapid development of computer and occurrence of a great deal of large-scale optimization problems make the researches in conjugate gradient method revive.

近年来，随着计算机的飞速发展和实际问题中大规模优化问题的涌现，寻找快速有效的共轭梯度法成为了学者们研究的热门方向之一。

According to the characteristic of image sequence, we define a function of motion smoothness and provide the constant acceleration model of feature point.

针对非刚体图象序列的特点，定义了特征点运动的平滑代价函数，并提出了特征点运动的常加速度模型，在此基础之上，将非刚体特征点对应的建立问题表示为一个带约束的优化问题，并用Hopfield网络将其实现。

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

By applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

这样就把材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题，这时材料界面的形状敏度就(来源：9aABb5C论文网www.abclunwen.com)是水平集的运动速度。

The key to investigating optimization problems, especially constrained optimization problems, is to design efficient algorithm for solving it.

最优化问题特别是约束优化问题研究的一个核心是设计有效的算法。

In this paper, we succeed to generalize the modified BFGS update formula to constrained optimization problem.

本文将无约束问题的修正BFGS信赖域算法成功地应用于约束优化问题。

Constrained optimization problems are mathematical programming problems frequently encountered in the disciplines of science and engineering application.

约束优化问题是科学和工程应用领域经常会遇到的一类数学规划问题。

By changing the problem of downlink power control to a combination optimization one with simple form, analyzing the continuity and derivative of energy function, and explaining the particularity of obtaining derivatives, the feasibility of solving the problem using chaotic simulated annealing algorithm was explicated.

通过将下行链路功率控制归结为形式简单的组合优化问题，并适当分析能量函数的连续性与可导性，以及求导过程的特殊性，说明了利用混沌模拟退火法解决此问题的可行性。

On the basis of general Krawczyk-Hansen Operator, the interval iteration of the constrained functions are established; the interval extension of maximum entropy function is discussed; convergence is proved; region deletion rules are supplied and the algorithm of interval maximum entropy has been set up.

利用极大熵函数和罚函数将问题转化为无约束可微优化问题，借助广义Krawczyk-Hansen算子建立了约束函数的区间迭代；讨论了极大熵函数和罚函数的区间扩张，证明了收敛性等性质，给出了无解区域删除原则，建立了区间极大熵算法。

Many problems in the cryptology can be represented as optimizationproblems in mathematics.

密码学中的大量问题在数学上可以表现为困难的优化问题。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新