A new semi-tensor product of matrices
Daizhan CHENG
Zequn LIU
摘要：A new matrix product, called the second semi-tensor product (STP-II) of matrices is proposed. It is similar to the classical semi-tensor product (STP-I). First, its fundamental properties are presented. Then, the equivalence relation caused by STP-II is obtained. Using this equivalence, a quotient space is also obtained. Finally, the vector space structure, the metric and the metric topology, the projection and subspaces, etc. of the quotient space are investigated in detail.
机标关键词：
资助基金：This work was supported in part by the National Natural Science Foundation of China ()This work was supported in part by the National Natural Science Foundation of China ( 61733018)This work was supported in part by the National Natural Science Foundation of China ( 61333001)This work was supported in part by the National Natural Science Foundation of China ( 61773371)
论文发表日期：2019-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：9( 4-12 )
英文信息