查询词典 domain of convergence

Chapter 8: We discuss the acceleration of multigrid by Krylov subspace approaches, and recognize the reason for slow convergence of algebraic multigrid methods is that error reduction is significantly less efficient for some very specific error components which may cause a few eigenvalues of the algebraic multigrid iteration matrix to be considerably closer to 1 than all the rest. However, the eigenvectors belonging to the few isolated eigenvalues can be expected to be typically captured after only a few conjugate gradient iterations, which accelerate algebraic multigrid algorithms. Theoretical analysis and numerical results of some practical problems show the iterant recombination accelerates algebraic multigrid convergence.

第八章：先介绍用Krylov子空间迭代法加速一般多重网格方法收敛的基本框架，然后紧紧抓住引起代数多重网格方法收敛减慢的根本原因往往是误差减小对几个特别的误差分量不明显，这导致代数多重网格方法的迭代矩阵的几个特征值接近于1，而共轭梯度方法则能比较典型地捕捉属于孤立特征值的特征向量，从而推导出有效的共轭梯度加速算法和程序实现，不仅从一些具体的实际应用例子的数值结果去验证迭代复合加速收敛的效果，而且还从理论上分析了预处理共轭梯度法加速代数多重网格法收敛的机理。

Several improvements has been made to the existing error analysis as follows: considering the complete form of the fal function in the error analysis; choosing the noncontinuous piecewise Lyapunov function to get better choose rule of parameters; giving the judging criteria of error convergence for the ESO with different parameters and the convergence value of the error.

在现有误差分析的基础上做了如下改进：误差分析中考虑fal函数的完整形式；选用非连续的分段Lyapunov函数，得到了更好的参数选取规则；给出了不同参数下扩张状态观测器误差收敛的评价标准以及误差收敛值。

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链，其Cesaro平均收敛的收敛速度基础上，研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链，通过控制转移矩阵列平均收敛的收敛速度，利用矩阵范数的性质、非齐次马氏链的相关性质等，得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度，是B。

Flow convergence regurgitant volumes and fractions were calculated by using the hemispherical flow convergence equation with 81, 71, 58, 46, 37 and 29cm/sec aliasing limit velocities, and the effective regurgitant areas were calculated with 58, 46 and 37cm/sec aliasing velocities.

按半球血流会聚公式分别计算混叠极限为81、71、58、46、37和29cm/sec时返流量、返流分数(返流量/二尖瓣口流入量)及混叠极限为58、46和37cm/sec时有效返流口面积(返流量/返流速度时间积分)。

Our results show that there is no obvious conditional convergence in china, that is, given the same level of human capital, market openness and other factors the economic provinces have demonstrated an unconspicuous growth convergence.

本文研究得出，中国地区间的经济增长，存在不明显的条件收敛的特征，即在具有相同的人力资本、市场开放度等结构特征的经济地区间不存在明显的增长收敛趋势，但是存在着很显著的&俱乐部收敛&特征，即按东中西划分的区域内部人均经济产出具有明显的聚集现象。

Our results show that not only the club convergence has been obviously exhibited, that is, the output per capita congregates within the east, middle and west districts respectively; but also the conditional convergence has been identified, that is, given the same level of human capital, market ope...

本文认为中国地区间的经济增长，不仅存在着显著的&俱乐部收敛&特征，即按东中西划分的区域内部人均产出具有明显的聚集现象；而且存在着条件收敛的特征，即在具有相同的人力资本、市场开放度等结构特征的经济地区间存在着一定的增长收敛趋势。本文实证分析的结果还显示，各地区间工业化水平的差异和产业结构的变动对增长收敛性构成显著的影响。

But the club convergence has been obviously exhibited, that is, the output per capita congregates within the east, middle and west districts respectively. The outcome of the paper also shows that the commercial intercourse across provinces affects the growth convergence significantly.

实证分析的结果表明，省际间包括资本流动以及劳动力流动在内的经济交流的繁荣程度对各地区经济增长收敛有着显著的正相关关系，并且可以以此推进中国各地区经济的均衡发展。

The shortages of typical BP algorithm are that its convergence speed is slow and it possibly mires to local minimum. To solve the former shortage, BP algorithm was modified from several aspects, such as adjusting learning rate adaptively, adding momentum factor, preprocessing training data and modifying network structure, etc.. For the latter shortage, factor γ was introduced to avoid most of local minimum and accelerate the convergence speed.

为解决现有BP算法收敛速度慢的问题，对BP算法进行了改进，采用了动态改变步长、加入动量因子、对训练样本进行预处理以及调整网络结构等措施；针对经典BP算法可能收敛到局部极小点的问题，加入γ因子，可以避免大部分的局部极小值，从而使网络的收敛速度加快。

Simulation results show that the algorithm has better global convergence ability and rapider convergence velocity through optimization tests of benchmark functions.

通过标准函数的优化试验，仿真结果表明该算法有较强的全局收敛能力和较快的收敛速度。

Simulation results show that the algorithm has better global convergence ability and rapider convergence velocity through optimization tests of benchmark functions .

通过标准函数的优化试验，仿真结果表明该算法有较强的全局收敛能力和较快的收敛速度，以二级倒立摆为被控对象，利用ILGA优化T-S模糊神经网络控制器，实验证明了该方法具有稳态性好，响应速度快等优点。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。