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This paper points out that if a sequence of Jacobian approximation satisfies the bounded deterioration, the sequence generated from the quasi& Newton methods is no better than linear convergence.

本文指出当Jacobian近似满足有界退化性质时，由拟牛顿算法得到的迭代序列最多是线性收敛的。

The nonlinear system of general form is solved by using changing mesh-length, linearizing the nonlinear term with finite analysis method, to build an iterated order, and amend the nonlinear term by iteration.

本文采取变步长用有限分析法把非线性项线性化，构造一个迭代序列，逐步迭代修正非线性项，求解一般形式的非线性系统方程；

For a nonlinear system of ordinary differential equations, we construct an iterative sequence and prove that the sequence is bounded. Using the sequence, the approximate solution is obtained.

对于非线性微分方程组，构造了一个迭代序列，证明了迭代序列是有界的，利用迭代序列构造近似解的表达形式。

A sufficient and necessary condition for convergence of Mann iterative sequence of strongly accretive operator

关于强增生算子的Mann迭代序列收敛的充要条件

The Fixed Point Iterative Sequences for Real Functions Defined on Arbitrary Domain

任意区间上的实函数的不动点迭代序列

In this paper, by constructing monotone iterative sequences, we consider existence and iterative algorithm of minimum and maximum solutions of Sturm boundary value problems of the nonlinear integral differential equations in Banach spaces.

通过构造单调迭代序列，研究了Banach空间中非线性积分微分方程在Sturm边值条件下的最大解与最小解的存在性及其迭代求法。

Convergence Rate Estimate of Ishikawa Iteration Method with Errors for Equations Involving Accretive Operators

关于增生算子方程的具误差的Ishikawa迭代序列的收敛率估计

First, two iterative sequences of differential equations are constructed based on the SAA and the uniform convergence of their solution sequences are then proven. Thus, the interconnected large-scale systems are decomposed into N decoupled subsystems.

采用逐次逼近方法构造了两个向量微分方程迭代序列，并证明了其解序列的一致收敛性，从而将该互联大系统分解为N个解耦的子系统。

A new iterative scheme is introduced which is proved to be weakly convergent to zero point of maximal monotone operator A by using the techniques of Lyapunov functional, Qr operator and generalized projection operator, etc.

本文将引入新的迭代算法，并利用Lyapunov泛函，Qr算子与广义投影算子等技巧，证明了迭代序列弱收敛于极大单调算子A的零点的结论。