一类增生算子方程具误差的Lipschitz迭代解

设X是一个实Banach空间，H:X→X是Lipschitz算子，T：X→X是一致连续且值域有界，则带误差型的Ishikawa序列强收敛于方程Hx Tx=f的唯一解。推广了相关论文的结论。     

遗传算法用于求解非线性方程组

本文采用自适应的遗传算子和自适应选取初始区间等技术,设计了基于实数编码的遗传算法,用于求解非线性方程组(含非线性方程)问题,本文的二个算例获得了较好的结果.     

Internal Force Analysis Due to the Supporting Translation in Statically Indeterminate Structures for Different Elastic Modulus

For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures.     

统一判据下Chebyshev迭代的收敛性

利用优函数研究了Banach空间中解非线性算子方程的Chebyshev迭代的的收敛性,建立了它的更为阔泛的Newton-Kantorovlch型收敛性定理,最后用例子说明了定理的应用．     

离散细胞神经网络的稳定性研究

主要研究了离散细胞神经网络的稳定性问题，通过对系统不动点的分析，利用迭代的方法得到了该CNN系统稳定的一个充分条件．     

关于解线性方程组的迭代法

给出了几个上三角迭代公式，讨论了它们的收敛性，给出了选代法的一个新的一般形式和一个矩阵迭代公式，一般形式为构造快速收敛的迭代提供了方便，矩阵迭代则是一种具有较快敛速的算法．讨论了迭代法进行消元的问题，误差估计的结果表明用迭代法进行消元是稳定的、可行的．     

C程序实现牛顿迭代法的教学探讨

主要从教学思路的角度出发,讲述牛顿迭代法的基本思想和分析其几何意义,并与计算机C语言程序充分结合,对牛顿迭代法求根的教学和C程序实现的方法实践过程做了详细的探讨.     

An Investigation into Uncovering and Understanding Tacit Knowledge in a First‐Year Design Studio Environment

Tacit knowledge, intuitive responses, empirical research – how can design elevate itself as a discipline when its main forms of knowledge gathering and generation are still believed to be less valuable than those in traditional academia? Beginning design students must learn to put words to their actions, to understand their processes and to be critical and reflective throughout all stages of a project. By guiding students into developing rigorous iterative processes that combine theoretical research, empirical research, questioning and reflection students will no longer need to hide behind the lure of the enigma of intuition. The introduction of writing in the studio classroom is one method that can help students see the relationship between the various stages of their creative process and articulate the reasons behind the decisions they make. Experiential learning techniques that combine writing, making, research and reflection will help students shift their personal frames of reference and thus create a more critically engaged student body.     

一类二阶迭代泛函微分方程的局部可逆解析解

在复域C内研究了一类含有未知函数迭代的二阶微分方程的局部可逆解析解的存在性.通过Schr der变换,把这类方程化为一种不含未知函数迭代的泛函微分方程,并给出了它的局部可逆解析解.讨论了双曲型情形和共振的情形,还在Brjuno条件下讨论了在共振点附近的情形.     

单位球上满足Cauchy—Riemann方程相容性的一类函数

对单位球上Pompeiu算子的核空间进行了研究,给出了它们和张量值函数的Cauchy—Riemann方程相容性之间的关系。