一阶有限群控制下实数域多方向计算的实现

Implementation on multi-directional computing of real number model represented by unit group

根据一阶有限群的多方向计算,实现实数域运算描述的数学模型的多方向计算。多方向计算是以群论和图论为理论基础。一阶的有限群是对研究的初等代数运算描述的数学模型的最高形式的抽象。把一阶的有限群的多方向计算的性质应用到实数域的数学模型,应用到科学和工程领域的大量计算中去。根据这些研究建立一个计算系统的软件,名叫“九章”。“九章”能够加载以初等代数公式描述的数学模型,并演算求解模型各个计算方向的应用。它的特点是能够对数学模型进行多方向计算。把可以多方向计算的数学模型从应用程序分离出来,由“九章”来运行,提供数学模型多方向执行和并行执行的特征。

This article is to achieve the multi-directional computing of real number models,based on multi-directional computation of unit group models.The research on multi-direction computation is based on and supported by the group theory and the graph theory.An abstract algebra group composed of one element is the highest abstraction of the mathematical models researched in this paper.The aprovement of multi-directional computation of the group is finished in this paper.Mathematical models in real number domain applied multi-directional computing of one element group and those are widely used in the scientific computing and the engineering computing.A software system,named Jiuzhang,is established based on these researches. Jiuzhang deals with mathematical model composed of elementary algebra operations and performing multi-directional computation on the mathematical model.The key characteristic of Jiuzhang is that it is able to perform multi-directional computation on the mathematical model.Draw out the mathematical model from the application program and performed by Jiuzhang with the performance of multi-directional usage of the mathematical model.