Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships.
Rezensionen / Stimmen
"The book should be useful as a reference for research workers in linear algebra, operator theory, mathematical physics and numerical analysis." --MathSciNet
"Roughly half the book is devoted to defining and developing properties of tensors, and the other half to algorithms." --MAA Reviews
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-803953-3 (9780128039533)
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Schweitzer Klassifikation
Yimin Wei is a Professor at the School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China. He has has published three English books and over 100 research papers in international journals. His studies on tensors are supported by the National Natural Science Foundation of China. Weiyang Ding is a Ph.D student under the supervision of Professor Wei, at the School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China.
Autor*in
Professor,School of Mathematical Sciences, Fudan University, Shanghai, China
Ph.D student, School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China
1. Introduction and Preliminaries
2. Hankel Tensors
3. Generalized Tensor Eigenvalue Problems
4. M-Tensors and Multi-Linear Equations5. Tensor Logarithmic Norms6. Multi-Linear Discriminant Analysis
