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On the tensor Permutation Matrices

2011/01/05 by Christian Rakotonirina, Rakotonirina, Christian
Computer Science · Mathematics · Physics and Astronomy · #15A69 (Primary) 15A90 (Secondary) #Advanced Mathematical Theories and Applications #Algebra over a field #Cartesian tensor #Combinatorics #Exact solutions in general relativity #FOS: Mathematics #General Mathematics (math.GM) #Geometry #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Matrix multiplication #Permutation (music) #Permutation matrix #Physics #Pure mathematics #Quantum mechanics #Rectangle #Symmetric tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Tensor product of Hilbert spaces #Tensor product of algebras #math.GM #msc:15A69 #msc:15A90

paper · pdf · doi:10.48550/arxiv.1101.0910

7 pages, an example is deleted because it does not suit the purpose of the paper

openalex publication_date 2011/01/05 · arxiv created 2013/06/18 · arxiv updated 2013/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that two tensor permutation matrices permutate tensor product of rectangle matrices. Some examples, in the particular case of tensor commutation matrices, for studying some linear matrix equations are given.

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