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arXiv · 2303.06295

Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices

Daizhan Cheng·Xiao Zhang·Zhengping Ji
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Abstract

The semi-tensor product (STP) of matrices is extended to the STP of hypermatrices. Some basic properties of the STP of matrices are extended to the STP of hypermatrices. The hyperdeterminant of hypersquares is introduced. Some algebraic and geometric structures of matrices are extended to hypermatrices. Then the compound hypermatrix is proposed. The STP of hypermatrix is used to compound hypermatrix. Basic properties are proved to be available for compound hypermatrix.

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Daizhan Cheng, Xiao Zhang, Zhengping Ji. 2023-03-11. Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices. https://arxiv.org/abs/2303.06295

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