收敛性

In chapter 5,a new mixed algorithm suitable for feasible initial point is presented.

该方法是整体收敛性算法与局部超线性收敛性算法的组合。

In the algorithm,a kind of merit function and the schemes of nonmono-tone line search are used to have the algorithm be of the global convergence andsuperlinear convergence and have the algorithm be of a extended application range,especially at time of the feasible initial point is hard to be obtained.

该方法适用于任意的起始点。并且使用了一类效益函数，ε—积极约束策略及非单调线搜索，从而使算法保持了整体收敛性和局部超线性收敛性，并具有较广的适用范围，尤其在可行的起始点难于得到的情况下。

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识，运用Lax-Milagram定理等，从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题，得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

The main characteristic of this method has good global convergence and fast local convergence.

该算法的特点是具有较好的全局收敛性和快速的局部收敛性。

Under appropriate conditions, we obtain the global and quadratic convergence of the proposed method.

在适当的条件下，我们证明了算法的全局收敛性和二阶收敛性。

Under mild conditions, we prove that our algorithm has the properties of global convergence and quadratic convergence.

在适当的条件下，证明了算法的全局收敛性和二次收敛性。

We discussed the convergence of MAP path, i.e. in the condition of global optimization, we researched into the convergence of hidden state sequence when observational state sequence is infinite.

讨论了MAP路径估计的收敛性，即在全局最优的条件下考察了当观测序列趋于无限时隐状态序列的收敛性问题。

Secondly, in view of the identification problem after the change of MRAPC structure, the research has been extended to a kind of continuous system with time delay, and the robust convergence analysis for this model reference adaptive identification algorithm has been given. Using the intermediate value theorem in this analysis, the approximate problem in original analysis has been solved partly.

2针对MRAPC算法结构改变后产生的自适应辨识问题，考虑一种更一般的具有实零极点的时滞连续系统的模型参考自适应辨识算法，作者分析了该算法的鲁棒收敛性，在运用微分中值定理的基础上，解决了原有的收敛性分析中存在的近似问题。

We obtain these theorems on the isometry groupsof pinched Hadamard manifolds under Condition A.

特别是在三维双曲情形，条件A等是自然满足的，因此我们所得到的代数收敛性定理、极限定理和收敛性定理与平面上的经典情形一致。

The main results of this research are as follows:(1) A parallel algorithm for solving dense matrix linear equations on distributed-memory multi-computer is presented. Convergent velocity of this algorithm is better than parallel Jacobi method"s, and parallelism is better than Gauss-Seidel method"s. According to theoretical analysis, convergent conditions are given. Moreover numerical experiments indicate that results agree with theory.

主要完成了如下研究工作：(1)提出了一种求解系数矩阵为稠密矩阵的线性方程组的适合于MIMD分布式存储的并行迭代算法，该算法设计上兼取了Jacobi算法并行性好的优点和Gauss-Seidel算法收敛速度快的长处，并且在理论上给出了该算法成立的收敛性条件，并通过数值计算验证了此算法结果与理论相符合。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。