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.
基金
This work was supported partly by the National Natural Science Foundation of China(NSFC)(Nos.62073315,62103305)
the Shanghai Pujiang Program(No.21PJ 1413100)
China Postdoctoral Science Foundation(Nos.2021M703423,2022T150686).