A simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction

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dc.creatorSakata, Toshio
dc.creatorSumi, Toshio
dc.creatorMiyazaki, Mitsuhiro
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:29Z
dc.date.available2026-07-07T09:57:29Z
dc.descriptionThe determination of the maximal ranks of a set of a given type of tensors is a basic problem both in theory and application. In statistical applications, the maximal rank is related to the number of necessary parameters to be built in a tensor model. Based on this classical theorem by Bosch we will show the tight bound for 2 x n x n tensors by simple row and column operations, symmetrization and mathematical induction, which has been given by several authors based on eigenvalue theories.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/0808.2688
dc.identifierhttp://arxiv.org/abs/0808.2688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167357
dc.subjectRings and Algebras
dc.subject15A69; 15A72; 14Q99; 14M12; 14M99
dc.titleA simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction
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