Algebraic and Computational Aspects of Real Tensor Ranks

• Κύριοι συγγραφείς: Sakata, Toshio (Συγγραφέας), Sumi, Toshio (Συγγραφέας), Miyazaki, Mitsuhiro (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: SpringerBriefs in Statistics,
• Θέματα: Statistics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Statistics and Computing/Statistics Programs.; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law.

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...

Πίνακας περιεχομένων:

• 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.