查询词典 almost certain convergence

Compactness and the relation between strong convergence and weak* convergence.

紧性以及强收敛和弱收敛之间的关系。

By the way, we describe the modified quasi-Newton algorithm used the line search , and have given its global convergence and superlinear convergence.

接下来描述了采用线性搜索的修正拟Newton算法，并给出了它的全局收敛性与超线性收敛性。

Furthermore, the global convergence and superlinear convergence rate are proved under mild assumptions without the strict complementarity.

此外，在不需要严格互补的温和条件下，我们证明了算法的全局收敛性和超线性收敛性。

The algorithm is the combination of the method with global convergence and thatwith locally superlinear convergence.

其特点之一是该方法在每步迭代中只需要计算一个或三个具有相同系数矩阵的线性方程组。

Chapter 1 put forward several new concepts and methods,such as subfeasiblemethods and strongly subfeasible methods in Definition 1.2.9,two-step quadraticallysuperlinear convergence and strong two-step quadratically superlinear convergence in Definition 1.2.7 (5,6),and so on.

第一章提出几个新的概念和方法，如定义1.2.9的次可行方法和强次可行方法，定义1.2.7（5，6）的两步超二次及强两步超二次收敛等。

In this paper, we mainlydiscuss the above functions and apply the violation constrained functions to filterSQP methods the algorithms, furthermore, we prove that the new algorithms haveglobal convergence and superlinear convergence under the mild conditions.

本文着重讨论这几种NCP类函数的性质，并把它们所定义的违反约束度函数应用于SQP算法中，并证明了在一定的条件下新的算法具有全局收敛性和超线性收敛性。

Since a new generalized projection technique is contained in the auxiliary direction formula, under some mild assumptions without the strict complementarity, the global convergence and superlinear convergence of the algorithm can be obtained.

由于一种新的广义投影技术包含在辅助方向的计算公式中，因而在无严格互补等较温和的假设下便可得到算法的全局收敛性及超线性收敛性。

LC1 unconstrained optimization problem was discussed in the second chapter, giving a new trust region method and proving its global convergence and superlinear convergence under some mild conditions .

第二章讨论了LC~1无约束优化问题。给出了一个新的信赖域算法，并在一定的条件下证明了算法的全局收敛性和局部超线性收敛性。

To solve it, we turn it into nonsmooth equations, utilizing inexact theory we give an inexact generalized Newtons method and under some mild conditions we prove that it is global convergence and superlinear convergence .

首先将其约束问题的求解转化为非光滑方程组的求解，然后利用不完全求解理论给出了一个非精确的广义牛顿算法，在一定的条件下证明了算法的全局收敛性和局部超线性收敛性并给出了LC~1非线性约束问题的收敛性条件。

We also introduce a control function, prove the global convergence, and prove the local superlinear convergence under some conditions. Then we propose another new algorithm by using an existed approximation functions, which has the same characters as the first algorithms does. Finally, the result of the numerical experiments indicates the efficiency of the first algorithm. The paper contains four parts.

本文还引入了新的控制函数，并证明了算法具有全局收敛性和在一定的条件下具有局部超线性收敛性；然后，在第一个算法的基础上，本文利用已有的光滑逼近函数提出了另外一个新的算法，通过适当参数选取，证明了新的算法具有与第一个算法同样良好的收敛性质；最后，通过数值计算说明了算法的高效性。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。