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Stability of theoretical and numerical solution to stiff integro-differential equa-tionsand to stiff integro-differential equations of integral limit which depends on state function yare discussed in this paper.

中文摘要:本文研究刚性积分微分方程初值问题及积分限依赖于状态函数y的刚性积分微分方程初值问题的理论解及数值解的稳定性和收敛性。

The alterative direct iterative, strong implicit procedure, preconditioning transpose-free variant of quasi-minimum residual method and biconjugate gradient stabilized method of the Krylov subspace methods were implemented in SIMPLER algorithm to solve the algebraic equations.

将交替方向隐式、强隐及Krylov子空间法中的TFQMR、Bi-CGSTAB方法实施于SIMPLER算法,作为其内迭代求解方法,比较了不同代数方程求解方法的收敛速度,并首次分析了它们对算法健壮性的影响。

In this paper, the convergence of iterative methods for the linear system Ax=b is investigated, where A is a centrosymmetric M-matrix.

主要研究了线性方程组Ax=b的迭代解法的收敛性,其中A为中心对称的M-阵。

We give different kinds of iterative methods of some quaternion matrix equations,and using structure-preserving property for complexification operator of the quaternion matrices,which analysis and character the convergence of various algorithms.

给出了若干类四元数矩阵方程的多种迭代算法,并利用四元数矩阵复表示运算的性质与保结构特性,分析和刻画了各种算法的收敛性。

Using Panel Data model to have a demonstration research for the dissertation of county economic development disparity from 1989 to 2004, and gets several significant conclusions:(1) There is aαtrend in county economic increasing disparity in China, there is also a emanative trend in county economy during theexamination of absoluteβ.

接着本文使用Panel Data模型对1989-2004年中国县域经济发展差异的收敛性进行了实证研究,得出了一些有意义的结论:(1)中国县域经济增长差异存在α趋异,另外在绝对β检验过程中发现中国县域经济整体存在发散的趋势。

The contact problem between the infinite semicircle cylinder and the plane is a typical example in the field of contact problem research. The solutions obtained through static model are compared with the Hertzian solutions in this paper.

以无限长半圆柱与水平面间的接触问题为算例,本文将静力学计算结果与经典Hertz接触理论解比较,获得了良好的一致;在动力学方面,本文仿真了突然加载下的半圆柱与水平面的接触过程,仿真收敛性良好。

A new fuzzy Kohonen clustering network is proposed which integrates Fuzzy c-Means model as the fuzzy control mechanism into the learning rate and updating strategies of Kohonen network.It effectively overcomes the shortcomings which occur during clustering network parameters are adjusted heuristically The numerical results show improved convergence as well as reduced clustering errors.

本文提出了一种新的模糊Kohonen聚类网络,它将模糊c-均值作为模糊控制机制结合到Kohonen网络学习和更新策略中,有效地解决了经典Kohonen聚类网络中学习参数启发式调整的缺点,仿真结果表明网络的收敛性和分类结果都得到了很大改善。

A systematic convergence tests for hyperspherical potential curves, channel functions, are performed to assess the validity and efficiency. The challenging three-body problem with complex channel-coupling is solved efficiently and accurately. Accurate ground-state energy, structure parameters, and rotantion constants for Ar2Kr and Ar3 are obtained and compared to other theoretical values in the literatures.

系统研究了超球势曲线、道函数的特征与收敛性;实现了有复杂多通道耦合时重惰性原子三聚体的精确求解,得到了Ar2Kr和Ar3惰性原子三聚体精确的基态能量、结构参数及转动常数,并与文献结果进行了比较。

A simple artificial immune network algorithm, suitable for clustering problems with a small quantity of samples, is obtained by using the idiotype immune network. Further, a fuzzy immune network classification algorithm applied to sample classification learning is proposed by uniting the algorithm and fuzzy logical rules.

其次,利用抗原群及抗体群的作用关系,结合免疫记忆细胞的记忆功能,并借助于克隆选择原理、免疫网络的调节机制及约束条件处理方法,设计约束多目标优化免疫算法处理约束多目标优化问题,收敛性论证、性能测试、比较及实际应用表明此算法是有效的。

A continuous type inferential control algorithm and the proof of the stability of the inferential control system are given in this paper.

给出了一种适用于工程常见的二阶对象的连续型推理控制算法,以及推理控制系统的稳定性和收敛性。

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