On Equivalence of Matrices

@article{Cheng2016OnEO,
  title={On Equivalence of Matrices},
  author={Daizhan Cheng},
  journal={arXiv: Group Theory},
  year={2016},
  pages={257-348}
}
  • Daizhan Cheng
  • Published 2016
  • Mathematics
  • arXiv: Group Theory
  • A new matrix product, called the semi-tensor product (STP), is briefly reviewed. The STP extends the classical matrix product to two arbitrary matrices. Under STP the set of matrices becomes a monoid (semi-group with identity). Some related structures and properties are investigated. Then the generalized matrix addition is also introduced, which extends the classical matrix addition to a class of two matrices with different dimensions. Motivated by STP of matrices, two kinds of equivalences of… CONTINUE READING

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