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Convergence of semi-iterative method was discussed by Varga, Young and HU Jia-gan when iterative matrix is symmetric. In this paper, using Chebyshev polynomial and its properties, we obtain the convergence of semi-iterative method for a class of antisymmetric iterative matrix.

本文依据Varga, Young,胡家赣书中介绍的迭代矩阵为对称阵时,半迭代法的收敛性的理论,以Chebyshev多项式及其基本性质作为基本工具,对一类反对称迭代矩阵,研究其半迭代法的收敛情况。

There is no convergence trouble here, but there may be commutativity trouble .

这里没有收敛性的麻烦,但可能有交换性的麻烦。

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制,所以圣文南原理的合理成分体现为算子连分式的收敛性。

Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential .

将数学分析中一致收敛性的概念加以推广,分别对函数项级数和含参量积分引入次一致收敛的概念,证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件,推广了数学分析中的相应结

We give the sufficient-necessary condition of convergence and the sufficient condition of eventually contractive convergence introduced by Fisher is explained.

另一方面,根据线性控制理论的某些结果,提出了用系统的特征值来分析解码吸引子的收敛性的新手段;并给出了收敛的充要条件以及Fisher终值压缩收敛的充分条件。

Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题,本文重点研究了一步模拟方法计算机实现的关键技术:提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解,研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子,提出了一步模拟迭代求解过程中的发散准则,并研究了病态方程组系数矩阵的修正方法。

The family of iterative methods avoid evaluating the second Frechet derivative.

在第一章中,我们总结了各种迭代法和它们的收敛条件及证明各种迭代法收敛性的技巧。

The results presented could be regarded as the development of the previ-ous research on fuzzy matrix.And the convergence problem is basically resolvedfor lattice matrix applying to the fields of nerve network.

本文建立的有关结果可以视为对以往关于模糊矩阵幂序列的收敛性的研究成果的发展,为格矩阵应用于神经网络等领域解决了收敛性问题。

The variational convergence of real function sequence is extended to vector function sequence and the lower semicontinuity of approximating set of weak Pareto solutions of a given multiobjective decision making problem with general constraint set is obtained by using the variational convergence.

本文将函数序列的v-收敛性推广到向量值函数,在v-收敛性的条件下得到了给定的多目标决策问题的近似弱有效解集的下半连续性并给出了若干容易验证的充分条件。

This method has the advantage of the well-known Newton's method, considered by, thus it does not need to solve linear equations.

3.4.6分别给出了它在各种条件下的收敛性的证明,并估计了收敛速率。

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