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A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点,介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点,其结果把非扩张映像推广到Lipschitz严格伪压缩映象上,改进了一些相关结果。

In chapter 2, using the favorable characters of the function Q = ch{x - 1, we construct the hyperbolic cosine penalty function and algorithms and proved its convergence .

在第二章中,我们利用函数Q=ch-1良好的性质,提出一种用双曲余弦函数作罚项的双曲余弦罚函数及算法,证明了该罚函数和算法的合理性及迭代点列的收敛性。

Application of the method to the published data shows the proposed method is not only applicable, but has higher accuracy and better determinacy.

同时,结合实例的分析结果得出种群的规模对算法的收敛性没有明显的影响。

In order to avoid the Maratos effect, the merit functions used are approximations to Fletchers differentiable exact penalty function. Global convergence is proved on some conditions, and some numerical results are given .

为避免Maratos效应,此方法采用Fletcher的光滑精确罚函数的逼近形式作为价值函数,在一定条件下证明了算法的全局收敛性并且给出数值结果。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解,证明该逼近解的一致收敛性。

In this paper the convergence of random dirichlet series under identicaldistributed and φ-mixing variables {Xn} satisfy the following|and other suitable conditions are studied and some new results are also given.

本文利用强大数定律和Borel-cantelli引理研究了随机狄里克莱级数为同分布的φ-混合序列,且满足,等条件时的收敛性,得到了一些新的结果。

In this paper, we propose an algorithm for finding global minimization by discrete mean value-level set, the convergence of this algorithm is proved, a termination rule and some numerical examples are given.

西文提出了一个只需计算函数值的离散均值—水平集求全局最优的方法,给出了算法的终止准则,证明了算法的收敛性,并给出了某些数值例子。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its ε-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息,提出基本的迭代学习控制算法并分析和论证算法的收敛性,给出局部对称积分区间参数的确定策略。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its e-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息,提出基本的迭代学习控制算法并分析和论证算法的收敛性,给出局部对称积分区间参数的确定策略。

Simulation on Northwest Power System demonstrates that the method is very effective and the convergence of the algorithm is quite satisfactory.

对西北系统的仿真计算证实:本算法不仅是有效的,而且具有很好的收敛性。

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