查询词典 asymptotic convergence

The global and superlinear convergence results of the new algorithm are established.

该算法中我们允许使用非精确的方法近似求解信赖域子问题。

Under mild conditions, we establish the global and superlinear convergence results for the method.

在适当的假设条件下，我们证明了算法具有全局收敛性和超线性收敛性。

The method proves to have superlinear convergence rate under some mild conditions.

给出的算法是可实现的并具有全局收敛性，且在适当假设下具有超线性收敛性。

Furthmore, we prove the superlinear convergence of Algorithm 2.1 under mild growth condition.

此外，我们在较弱的生长条件下证明了算法2.1的超线性收敛率。

Under some assumptions, it is proven that the algorithm CLCTR is globally convergent and the rate of convergence is superlinear.

该算法不但具有算法LCTR的优点，同时它也推广和扩充了序列二次规划方法。

By choosing the proper parameters, we can prove that the new method has global and superlinear convergence properties under suitable conditions.

通过选择适当的参数，证明了改进的BFGS方法对于一类更广的搜索准则保持局部收敛性，在Wolfe搜索准则下方法还具有超线性收敛性。

The local superlinear convergence of line search type algorithm are proved under some condition.

本文在理论分析了相关算法的对称正定性及线性不变性，并证明了满足一定假设条件下线性搜索型算法具有局部超线性收敛性。

Under mild conditions,a new feasible descent algorithm is presented and its global and superlinear convergence are proved by using the technique of combining generalized projection method with sequential systems of linear equations.

在较温和的条件下，采用广义投影和序列线性方程组相结合的技术，建立一个新的可行下降算法，证明了算法的全局收敛性和超线性收敛性。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48