查询词典 acceleration of convergence

In the first chapter, the application background and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a new class of smoothing Newton method is detailed, also the global and local superlinear convergence is established for the method. In the 4th chapter, we propose some numerical experiment, and the results show the effectiveness of the proposed algorithms.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章介绍了与互补问题相关的一些定义以及相关的定理和推论；第三章是本文的重点，构造了求解互补问题的一类光滑牛顿法，从理论上证明了算法的全局收敛性和局部超线性收敛性；第四章是数值实验，通过数值试验的结果进一步证明了算法的可行性和有效性。

Using the comparison principle, it is proved that the proposed method is of superlinear convergence, The proposed algorithm takes the advantages of both the classical Newton method and the back/forward sweep method.

但是，前推回推法必须对节点和支路按一定的规则进行分层和编号，亦即是在具体的计算前，必须对配电网络进行拓扑分析，这对于大规模配电网和工程实际应用来说是一件比较麻烦的事情。

A new method for the structural static reanalysis of the topological modification was presented using the superlinear convergence property of the BFGS quasiNewton algorithm.

利用BFGS拟牛顿法的局部超线性收敛特征，提出了基于此方法的结构拓扑修改静态重分析算法。

In Chapter 2, combining two types of the preconvex part of modified Broydens family with Armijo line search, we get two algorithms for solving unconstrained optimization problems, and prove these algorithms are global and superlinear convergence under some suitable conditions.

第二章，将两种修改Broyden非凸族与Armijo线搜索相结合，得到了求解无约束最优化问题两种算法，在适当的条件下，证明了这些算法具有全局收敛性和超线性收敛性。

The convergence with discrete parameter of set-valued supermartingale had been investigated by many scholars.

离散参数集值上鞅的收敛性已有诸多学者研究过。

In order to get the convergence properties of the weak set-valued Amart , we firstly proved the theorem that the limit of support functions is a support function.

为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。

So, with the principle of lowest general energy-consumption for completing observation task, we figure out a kind of greedy heuristic algorithm, testify its convergence, and give its searching supremum and time complexity.

该策略主要思想是结合投标方卫星以往完成观测任务的历史记录，对卫星进行筛选招标，以减轻网络负载和通信量；投标过程中，引入后移空余时间概念，从时间约束和能源约束两个方面来判断投标方卫星是否有"能力"来完成招标的观测任务，并给出相应时间约束和能源约束的检验算法，分析了算法的时间复杂度；评标过程中，基于集覆盖的概念，将任务分配问题转化为集覆盖问题。

Through combing the surface electric-field and magnetic-field integral equations, the resultant matrix equation achieves better convergence properties.

组合表面电场和磁场积分方程，构造出具有良好收敛性的阻抗矩阵。

Quantumbehaved particle swarm optimization developed on the basis of classical particle swarm optimization is a method with better convergence and stability.

量子粒子群优化算法是在经典的微粒群算法的基础上所提出的一种有较高收敛性和稳定性的进化算法。

In Particular, the tangent stiffness matrix in the incremental relation becomes symmetric, ensuring the efficiency in the numerical analysis, whereas the integrated constitutive relation serves as a guide, ensuring the convergence on the physically feasible stress strain relation.

值得一提得是，增量本构方程中的切线劲度矩阵是对称的，使得在进行数值分析时十分有效。而全量本构方程作为确保实际可行的应力应变滞回圈收敛的向导。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。