Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices
Systems and Control
2023-03-14 v1 Systems and Control
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.
Cite
@article{arxiv.2303.06295,
title = {Semi-Tensor Product of Hypermatrices with Application to Compound Hypermatrices},
author = {Daizhan Cheng and Xiao Zhang and Zhengping Ji},
journal= {arXiv preprint arXiv:2303.06295},
year = {2023}
}
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8 pages