Algebraic and Computational Aspects of Real Tensor Ranks

This book provides comprehensive summaries of theoretical (algebraic) and computational aspects of tensor ranks, maximal ranks, and typical ranks, over the real number field. Although tensor ranks have been often argued in the complex number field, it should be emphasized that this book treats real...

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Main Authors: Sakata, Toshio. (Author, http://id.loc.gov/vocabulary/relators/aut), Sumi, Toshio. (http://id.loc.gov/vocabulary/relators/aut), Miyazaki, Mitsuhiro. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Tokyo : Springer Japan : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:JSS Research Series in Statistics,
Subjects:
Online Access:https://doi.org/10.1007/978-4-431-55459-2
Table of Contents:
  • Basics of Tensor Rank
  • 3-Tensors
  • Simple Evaluation Methods of Tensor Rank
  • Absolutely Nonsingular Tensors and Determinantal Polynomials
  • Maximal Ranks
  • Typical Ranks
  • Global Theory of Tensor Ranks
  • 2 × 2 × · · · × 2 Tensors.