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The proposed algorithm is convergent to the solution through the solutions of a series of condensation trust region subproblems. It is proved that the method is globally convergent and that the convergence rate is quadratic.

算法通过求解序列压缩信赖域子问题来获得原问题的最优解，并具有全局收敛性和局部二阶收敛速度。

First,we proposes the acceleration of Monte Carlo EM Algorithm,which is based on Monte Carlo EM Algorithm and Newton-Raphson algorithm,to improve the convergence rate;Second,the it is shown that the accelerated EM algorithm we proposed has quadratic convergence rate in a neighborhood of the posterior mode;Finally,its excellent performance in convergence rate is illustrated by a classical example.

受Monte Carlo EM算法与EM加速算法启发，本文构造了一种新的EM算法，称为Monte Carlo EM加速算法；证明了该算法在似然函数/后验分布的众数的附近确实具有二次收敛速度，改进了Monte Carlo EM算法的收敛速度；并通过一个数值例子的计算结果说明了该算法的优良性，它兼具实现简单及收敛速度快的特点。

Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs.

基于此给出了求解箱约束变分不等式的一种阻尼牛顿算法，在较弱的条件下，证明了算法的全局收敛性和局部超线性收敛率，以及对线性箱约束变分不等式的有限步收敛性。

During the iterations the trial step is truncated when necessary in order to keep the strict feasibility of the iteration points. It is shown that the LMTI approach and the STI approach have global convergence properties under some reasonable assumptions and will achieve local quadratic convergence rate under some even stronger conditions.

LMTI方法主要利用由有限内存BFGS公式的紧致形式获取的目标函数海色阵的近似矩阵构造信赖域问题模型并对其进行求解；而STI方法在构造的低维子空间上求信赖域子问题的解。

Zero residual and non-zero residual problems are discussed in different parts in this paper and the algorithm is proven quadratic convergence for zero residual problems and superlinear convergence for non-zero residual problems.

新方法将问题划分为零残量和非零残量来讨论，并证明了算法对零残量问题具有二次收敛性，对非零残量问题具有超线性收敛性。

The large-scale convergence for Newton-like iterative methods has quadratic convergence.

若为了放宽对初值的选择范围而采用Newton下IJJ法x，十1=x，一汀/flx。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

A damped Newton type method was presented based on it.Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs.

基于此给出了求解箱约束变分不等式的一种阻尼牛顿算法，在较弱的条件下，证明了算法的全局收敛性和局部超线性收敛率，以及对线性箱约束变分不等式的有限步收敛性。

Consistent tangent modulus matrices with consideration of the fully coupled effects are derived to preserve the quadratic rate of convergence of the global Newton iterative procedure.

损伤耦合分析的一致性切线模量矩阵。

In the probabilistic model for wind farm, the uncertainties of wind speed is takes into account, and the real power injected and reactive power absorbed by the wind turbine are described as the function of the voltage magnitude, the slip of the induction machine and the circuit parameters of the wind turbines. In the unified iteration method, the slip of induction machine is introduced as the new correction value. The Newton-Raphson algorithm is used to solve the unified iteration of state variable and slip. Thus, the proposed method retains the quadratic convergence of the Newton-Raphson algorithm.

该风电概率模型考虑风速的随机性，将风机输出的随机有功功率和吸收的随机无功功率描述为电压幅值、异步机的滑差和风轮机的电路参数的函数；联合迭代方法中，异步风力发电机的滑差作为新的修正量被引入，使用牛顿-拉夫逊方法求解关于潮流状态变量和滑差的联合迭代，加热器因而迭代过程保持了牛顿-拉夫逊方法的平方收敛性。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。