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About Notations in Multiway Array Processing

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arxiv 1511.01306 v2 pith:NFNQ63YJ submitted 2015-11-04 cs.NA cs.NA

Jeremy E. Cohen This is my paper · ORCID
classification cs.NA
keywords arraynotationsmultiwayproductkroneckerprocessingpropertiesclearer
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This paper gives an overview of notations used in multiway array processing. We redefine the vectorization and matricization operators to comply with some properties of the Kronecker product. The tensor product and Kronecker product are also represented with two different symbols, and it is shown how these notations lead to clearer expressions for multiway array operations. Finally, the paper recalls the useful yet widely unknown properties of the array normal law with suggested notations.

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