• 论文 •

矩阵半张量积的基本原理与适用领域

1. 中国科学院数学与系统科学研究院系统科学研究所系统控制重点实验室,北京 100190
• 收稿日期:2012-08-07 出版日期:2012-12-25 发布日期:2013-03-13

CHENG Daizhan ,QI Hongsheng. PRINCIPLE AND RANGE OF POSSIBLE APPLICATIONS OF SIME-TENSOR PRODUCT OF MATRICES[J]. Journal of Systems Science and Mathematical Sciences, 2012, 32(12): 1488-1496.

PRINCIPLE AND RANGE OF POSSIBLE APPLICATIONS OF SIME-TENSOR PRODUCT OF MATRICES

CHENG Daizhan ,QI Hongsheng

1. Key Laboratory of Systems Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
• Received:2012-08-07 Online:2012-12-25 Published:2013-03-13

As a new matrix product, semi-tensor product of matrices has attracted more and more attention and participation from domestic and international academic
society, and it has been applied to more and more research topics. The purpose of this paper is to analyze the fundamental principle of semi-tensor product, and to explain the reason for the emergence and existence of the semi-tensor product. Unlike the existing surveys, this paper does not intend to introduce what applications the semi- tensor product has been used to. Instead, we want to explore what kind of problems the semi-tensor product might be used according to the essence of semi-tensor product. Such observation could help us to dig out unknown possible further applications of semi-tensor product.

MR(2010)主题分类:

()
 [1] 戚妞妞, 唐敏, 邓国强. 一种基于多样化多项式的高概率稀疏插值算法[J]. 系统科学与数学, 2021, 41(12): 3324-3341. [2] 胡鑫，黄迟. 具有随机脉冲的布尔控制网络的集合稳定性研究[J]. 系统科学与数学, 2020, 40(4): 587-598. [3] 邓国强，唐敏，张永燊. 一种基于竞争策略的稀疏多元多项式插值算法[J]. 系统科学与数学, 2018, 38(12): 1436-1448. [4] 王彪，冯俊娥.  周期时变布尔控制网络的能控性及其在一类细胞凋零网络上的应用[J]. 系统科学与数学, 2016, 36(7): 973-985. [5] 李睿，杨萌，楚天广. 概率布尔网络的集合镇定控制[J]. 系统科学与数学, 2016, 36(3): 371-380. [6] 李芳菲，孙继涛. 切换布尔网络稳定性的牵制控制[J]. 系统科学与数学, 2016, 36(3): 390-398. [7] 贾光钰，冯俊娥. 三种单节点摄动对混合值逻辑网络极限集的影响[J]. 系统科学与数学, 2016, 36(3): 426-436. [8] 付世华，赵建立，潘金凤. 布尔网络的稳定性与镇定[J]. 系统科学与数学, 2014, 34(4): 385-391. [9] 程代展，刘挺，王元华. 博弈论中的矩阵方法[J]. 系统科学与数学, 2014, 34(11): 1291-1305. [10] 程代展，赵寅，徐听听. 演化博弈与逻辑动态系统的优化控制[J]. 系统科学与数学, 2012, 32(10): 1226-1238.