Download e-book for kindle: Algebraic and Computational Aspects of Real Tensor Ranks by Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

By Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki

ISBN-10: 4431554580

ISBN-13: 9784431554585

This booklet offers accomplished summaries of theoretical (algebraic) and computational elements of tensor ranks, maximal ranks, and standard ranks, over the genuine quantity box. even if tensor ranks were usually argued within the advanced quantity box, it's going to be emphasised that this publication treats actual tensor ranks, that have direct purposes in facts. The e-book presents numerous attention-grabbing principles, together with determinant polynomials, determinantal beliefs, totally nonsingular tensors, completely complete column rank tensors, and their connection to bilinear maps and Hurwitz-Radon numbers. as well as experiences of the right way to confirm actual tensor ranks in information, international theories akin to the Jacobian strategy also are reviewed in information. The booklet comprises besides an obtainable and entire advent of mathematical backgrounds, with fundamentals of optimistic polynomials and calculations by utilizing the Groebner foundation. in addition, this e-book 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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