Contracted product of hypermatrices via STP of matrices
Daizhan Cheng1
Min Meng2
Xiao Zhang3
Zhengping Ji4
1.Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China2.Department of Control Science and Engineering,School of Electronics and Information Engineering,Tongji University,Shanghai 201210,China3.Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences,Beijing 100190,China4.Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100149,China
摘要：An equivalent definition of hypermatrices is introduced.The matrix expression of hypermatrices is proposed.Using permu-tation matrices,the conversion between different matrix expressions is revealed.The various kinds of contracted products of hypermatrices are realized by semi-tensor products(STP)of matrices via matrix expressions of hypermatrices.
机标关键词：contractedhypermatricesproduct
论文发表日期：2023-08-05
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：16( 265-280 )
英文信息