算法

With a constructed theorem, the author comes to a conclusion that this method, in a sense, equals to the algorithm of the continued fraction.

通过构造的一个定理对这个算法进行的分析讨论证实，闰周算法是一种很好的实数有理逼近算法，事实上，从某种意义上讲，它与连分数展开算法是等价的。

And the keytechniques are in the following:(1) The algorithm and program of intensified node arrangement near crack tip andalong crack line (2) The shape function calculation of point near crack based on visibility criteria (3) The contour integral method for calculation of stress intensify factor K_ⅠK_Ⅱ(4) The rock slope appraisal method using circular method, polygonal method orgraph theory method depending on the slope joints combination

程序实现的关键技术和算法如下：(1)沿裂隙结点布置及裂尖结点加密的算法及程序(2)采用可视准则的形函数算计算程序(3)围线积分计算复合型裂纹裂尖强度因子K_Ⅰ、K_Ⅱ的算法及程序(4)圆弧搜索法、折线搜索法和无网格—图论搜索法的算法及程序

For a long time, it is a main factor to hamper the real-time application of SHET. The research is carried on aiming to quickening convergence speed. The automatic-changing Homotopy algorithm is proposed in the dissertation. The algorithm, which can change the solving method based on fundamental component, has the advantages of large convergence domain, high convergence rate and high precision. Many trigonometric functions are contained in the mathematical model, during solving equation, the calculated speed and the precision are affected by the calculations of trigonometric functions.

特定谐波消除技术的数学模型是一组非线性方程组，长期以来，方程的求解一直是限制该技术实时应用的关键因素，本文针对特定消谐方程组的快速求解进行细致的研究，提出自动变同伦算法，该算法可根据基波幅值的取值范围来决定采用的求解方法，其对求解方法的可选择性使该算法与其它算法相比具有计算速度快、收敛域宽、计算精度高等优点。

In this paper, self-orthogonali zation was used to speed up the convergence rate of transform domain adaptive le ast-mean-square algorithm, and the analytical expression of system bit e rror rate was deduced.

但由于必须通过迭代收敛达到稳态解，自适应滤波算法不能锁定快变干扰。文中利用正交加速算法提高最小均方误差算法的收敛速度，推导出了使用变换域自正交加速算法时系统误码率的解析表达式。

The diagonal loading factor anti convergence performance were analyzed and the convergence scope of robust constrained LMS algorithm was also given.

针对上述问题，考虑信号方向向量的偏差对LMS算法性能的影响，提出了一种基于对角载入的鲁棒约束LMS算法，并对算法的对角载入因子和收敛性能进行了分析，给出了保证算法收敛的步长取值范围。

To overcome the premature of simple genetic algorithm, the calculating efficiency of SGA is improved by the following two ways; Firstly, in order to ensure convergence of algorithm and reduce influence factor of convergence, elitist selection and adapted crossover and mutation operator are adopted. Secondly, because this study deals with finding minimize volume of structure, to quicken convergence of this problem, in line with mechanics criterion the paper carry out mutation to some genes in chromosome according to variations of internal force. This will let algorithms to search answer with our hoping directions.

针对基本遗传算法存在早熟的问题，本文主要从两个方面进行了改进，首先为了保证算法的收敛和减少影响算法收敛因素，采用了最优保护策略和自适应的交叉和变异算子；其次，由于本文研究内容涉及求结构最小体积问题，为了加快此类问题的收敛速度，本文结合结构优化中的力学准则，对个体染色体中的某一段基因按照内力变化进行变异操作，使得算法按一定方向进行搜索最优解。

The computer simulation showed the blind Sign-EMS MLSE algorithm is superior to conditional blind EMS MLSE algorithm in convergence speed and mean square error in typical telephone channel, symmetric channel and common channel.

通过计算机仿真试验，在典型电话信道，对称信道以及普通信道中，对该算法与传统的LMS盲最大似然估计算法性能作了比较，并证明了该算法在收敛速度、均方误差等方面均优于传统算法。

In accordance with discrete, non-symmetry and time-delay feedback neural networks, we provide some theoretical criteria to judge the stability for designing the networks. On continuous feedback networks, we built an algorithm to estimate the convergence region. On the HNN feedback networks, an effective optimization algorithm based on the annealing strategy and the chaotic neural network is presented, and some disciplinary conclusions are provided to guide the selection of parameters. Simulation results on benchmark problems demonstrate that the performances of our algorithm are distinctly superior to those of the classic HNN based on gradient descend and stochastic optimization methods based on probabilistic distribution.

针对离散、非对称和时延等三种类型的动态反馈网络，给出了可用于网络设计的稳定性判别准则；针对连续动态反馈网络，建立了其收敛域估计的一个算法；针对以HNN模型描述的动态反馈网络，基于退火策略和混沌神经网络提出了一种高效的优化算法，建立了可用于指导参数选择的一些规律性结论，对典型算例的仿真研究显示，改进算法在各类性能上相对基于梯度下降的传统HNN模型和基于概率分布的随机优化算法，具有明显的优越性。

The basic idea of our method is: By incorporating a drift correction term into the traditional goal energy function, the new algorithm has the natural ability of anti-drift, which then, therefore, can boost the performance of robustness.

该算法的基本思想是：通过引入一个漂移矫正项，来改进传统算法的目标能量函数，使算法天然具备抗漂移的能力，从而提高算法的鲁棒性。

The disquisition brings forward three principle in combination arithmetic designing and combination arithmetic choice. There is currency, countability and less information redundancy. And the disquisition analyses the relation of them. The three principle is the dominant ideology in combination arithmetic designing.

组合算法的选择与应用组合算法评价依据复杂性选择应用本文提出了在组合算法设计和组合算法选择方面所应当遵循的三个原则，即通用性、可计算性和较少的信息冗余量，并初步分析了它们之间的相互关系。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。