梯度法

In this paper, we give a new class of adaptive nonmonotone spectral projected gradient technique for convex constrained optimization.

该文给出了求解凸约束优化的一类新的自适应非单调谱投影梯度法，主要思想是通过引入具有自适应性的权重参数，使算法在迭代过程中能自动调节非单调策略。

A cryostat used to fabricate cryogenics target by the thermal gradient method is designed. Upper and nether thermal pole are used to make the sample box cooling down.

同时研制和设计了一种热梯度法制备核聚变低温冷冻靶用的带光学窗口的异型低温恒温器。

Based on linear equation constraints and steepest descent method, an adaptive algorithm is proposed for nonminimum phase FIR system identification.

摘要提出了一种基于线性代数方程组约束和梯度法的非最小相位FIR系统的自适应辨识算法。

Spacer density of large area carbon nanotube field emissive displays is optimized by gradient method.

采用梯度法对大屏幕碳纳米管场致发射显示器的支撑墙密度进行了优化设计。

This multigrid solver is proven to provide the same accuracy as the finite element solution with respect to energy norm, and the computational complexity is suboptimal.

并证明用共轭梯度法作迭代算子时，该方法可以达到能量模意义下的最优，计算复杂度接近最优。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

In order to accurately estimate kinetic parameters, a new method, named as eugenic evolution programming, was proposed.

为准确估计反应动力学参数，在分析确定性优化方法与进化算法特性的基础上，提出了一种由优进策略支持的进化规划方法，它将确定性寻优的两点梯度法引入随机的进化规划算法中。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次，对于n个变量的非二次目标函数也提出了一个步长选取的准则，并在此准则下证明了当目标函数满足一定的条件时，梯度法具有局部n-步二阶收敛速度。

And the equations are solved coupling iteratively whith PCG method for Laplace equation and Gauss—Seidel method for convective equation.So the distribution of piezometric tube waterhead and saturation can be obtained.And the seepace free surface will be captured automatically according to the distribution of saturation with the concept of VOF.

分别对饱和区的拉普拉斯方程采用预处理共轭梯度法、非饱和区的对流方程采用Gauss—Seidel方法进行耦合迭代求解，得到渗流场的测压管水头分布和饱和度分布，并引入VOF的概念，由饱和度的分布自动扑捉渗流自由面。

In this paper the convergence rate and the global convergence properties of the Gradient Method are studied.

本文研究了梯度法的收敛速度和全局收敛性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。