English

Contracted Product of Hypermatrices via STP of Matrices

Numerical Analysis 2023-05-22 v1 Numerical Analysis

Abstract

An equivalent definition of hypermatrices is introduced. The matrix expression of hypermatrices is proposed. Using permutation matrices, the conversion of different matrix expressions is revealed. The various contracted products of hypermatrices are realized by semi-tensor products (STP) of matrices via matrix expressions of hypermatrices.

Keywords

Cite

@article{arxiv.2305.11661,
  title  = {Contracted Product of Hypermatrices via STP of Matrices},
  author = {Daizhan Cheng and Min Meng and Xiao Zhang and Zhengping Ji},
  journal= {arXiv preprint arXiv:2305.11661},
  year   = {2023}
}