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A survey on semi-tensor product of matrices
  • 时间：0
  • 分类：O151.21[理学—数学;理学—基础数学]
  • 作者机构：[1]Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing 100080, China
  • 相关基金：Supported partly by National Natural Science Foundation of China under Grant No. 60221301 and 60334040 .Dedicated to Academician Han-Fu Chen on the occasion of his 70th birthday.
  • 相关项目：控制科学中若干关键基础问题的研究
关键词： 抽象代数, 微分几何, 动态系统, 逻辑学, 半张量积, 矩阵, Abstract algebra, differential geometry, dynamic systems, logic, semi-tensor product
中文摘要：

当二个因素矩阵不遇见匹配状况的尺寸时，矩阵的半张肌产品是为盒子的常规矩阵产品的归纳。Itwas 大约十年以前第一求婚了。从那以后，它被开发了并且适用于几个不同领域。在这篇论文，我们将首先给简短介绍。然后分别地在它的应用程序上把调查给动态系统，到逻辑，到微分几何学，到抽象代数学。

英文摘要：

Semi-tensor product of matrices is a generalization of conventional matrix product for the case when the two factor matrices do not meet the dimension matching condition. It was firstly proposed about ten years ago. Since then it has been developed and applied to several different fields. In this paper we will first give a brief introduction. Then give a survey on its applications to dynamic systems, to logic, to differential geometry, to abstract algebra, respectively.

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期刊论文 14 著作 3
控制科学中若干关键基础问题的研究
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