Contracted Product of Hypermatrices via STP of Matrices

2023/05/19 by Daizhan Cheng, Min Meng, Cheng, Daizhan +5 · 1 citation
Agricultural and Biological Sciences · #Advanced Scientific Research Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2305.11661

openalex publication_date 2023/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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