New PDF release: Algebraic and Computational Aspects of Real Tensor Ranks

By Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

This ebook offers complete summaries of theoretical (algebraic) and computational facets of tensor ranks, maximal ranks, and general ranks, over the genuine quantity box. even supposing tensor ranks were usually argued within the advanced quantity box, it's going to be emphasised that this e-book treats actual tensor ranks, that have direct purposes in information. The booklet offers a number of attention-grabbing rules, together with determinant polynomials, determinantal beliefs, totally nonsingular tensors, totally complete column rank tensors, and their connection to bilinear maps and Hurwitz-Radon numbers. as well as studies of the way to be certain actual tensor ranks in info, worldwide theories equivalent to the Jacobian approach also are reviewed in information. The publication comprises besides an available and finished creation of mathematical backgrounds, with fundamentals of confident polynomials and calculations through the use of the Groebner foundation. moreover, this publication presents insights into numerical equipment of discovering tensor ranks via simultaneous singular price decompositions.

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Algebraic and Computational Aspects of Real Tensor Ranks (SpringerBriefs in Statistics) by Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki


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