求幂级数收敛域最关键的是求它的收敛半径。
To find the solution of power series convergence domain, it is important to get its radius of convergence.
二维逆Z变换远比一维情形复杂，表现在二维收敛域、二元因式分解、庞大的计算量等方面。
Because inverse Z transform in the case of 2 D is much more complicated than that in 1 D, which appears in 2 D convergent region or two variates factorization or teriable computations, etc.
讨论了利用部分路段的调查交通量，来推算OD表的可行性，并提出了减小收敛域的一种新方法。
Using the traffic investigated in some parts of road, the feasibility of estimate of OD table was studied.
与传统计算力矩法相比，在不要求加速度测量和惯性矩阵求逆的情况下，算法给出清晰的跟踪误差收敛域。
Compared with the computed torque method, the algorithm can give error convergence bound clearly without acceleration measurement and inverse inertia matrix.
用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。
A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.
本文分析了一种非相干伪码跟踪环路的线性以及非线性跟踪性能，并得到了环路的收敛域与收敛条件，这些分析结果对环路参数的设计都是至关重要的。
The algorithm presented in the paper achieved the stable condition and region of 2st-order DDLL. All of these analyses results are very important to design applicable parameters of the loop.
线性搜索方法和信赖域方法是保证最优化问题的整体收敛性的两种基本策略。
Both line search and trust region algorithm are well-accepted methods in the optimization to assure global convergence.
本文介绍了动态对角递归网络，并针对BP算法收敛慢的缺点，将递推预报误差学习算法应用到神经网络权值和域值的训练。
To overcome the slow convergence of the BP algorithm, recursive prediction error algorithm is proposed, which can train both the weight and the bias.
通过对可行域定义新的拟锥条件，给出相应同伦方程，并证明此同伦算法在此拟锥条件下具有全局收敛性。
We defined the new quasi-cone condition, established the homotopy equation and proved the global convergence of this homotopy method.
利用该网络稳定性与其能量函数收敛特性的关系，提出了基于LDHNN的移动域控制方法。
With the use of the relation between the stability and energy function convergence of the Hopfield neural network, an LDHNN-based receding-horizon (RH) control method is proposed.
沿袭用锥模型来逼近原问题的思路，本文主要研究锥模型拟牛顿信赖域方法的参数选择、收敛性和数值实现。
In this paper, we mainly discuss the modified quasi-Newton trust region methods based on a conic model (TRCM method) and prove their convergence properties.
为提高域间选路协议的扩展性能、收敛性能和路由质量，设计了一种基于链路状态机制的域间选路协议。
To improve scalability, convergence and route quality of inter-domain routing, a link-state based inter-domain routing protocol is designed.
在一个很广泛的信赖域半径选择规则下，证明了算法的强收敛性。
The strong convergence of the algorithm under a general choice for radius of trust region is proved.
本文使用信赖域策略结合投影梯度算法来解约束优化问题，并给出算法及其收敛性。
This paper is to study the convergence properties of the gradient projection method with trust region strategy for constrained optimization.
给出一种新的非单调信赖域方法，证明了算法的全局收敛性和超线性收敛性，最后给出了数值结果。
A new nonmonotonic trust region method is given in this paper. And its global convergence and superlinear convergence are proved. Numerical results are given.
针对模型信赖域方法中搜索方向存在的不足，提出了按负曲率方向进行搜索的模型信赖域算法，并证明了算法的收敛性。
Aiming at the shortcomings of trust region method, we proposed an algorithm using negative curvature direction as its searching direction. The convergence of the algorithm was given.
变换域LMS算法能通过正交变换有效降低输入信号自相关矩阵特征值的分散程度，可提高算法的收敛速度；
The transform domain LMS algorithm can reduce the cross-correlation of input signals effectively through orthogonal transforms, so the convergence rate will be improved;
为了保证算法的总体收敛性，应用信赖域算法代替一维搜索，确定下一个迭代点。
A trust-region methods which were replaced by line search methods were adopted to assure the global .
第三章为一个新的自适应信赖域方法及其收敛性。
In chapter 3, a new self-adaptive trust region method and its convergence are proposed.
利用一个修正的BFGS公式，提出了结合线搜索技术的BFGS -信赖域方法，并在一定条件下证明了该方法的全局收敛性和超线性收敛性。
By using a modified BFGS formula, a BFGS-type trust region method with line search technique for unconstrained optimization problems is proposed.
利用一个修正的BFGS公式，提出了结合线搜索技术的BFGS -信赖域方法，并在一定条件下证明了该方法的全局收敛性和超线性收敛性。
By using a modified BFGS formula, a BFGS-type trust region method with line search technique for unconstrained optimization problems is proposed.
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