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Theory and Computation of Tensors
Multi-Dimensional Arrays
This timely book introduces tensors, or multi-dimensional arrays, and investigates theories and computations of tensors to broaden perspectives on matrices, including how to extend numerical linear algebra to numerical multi-linear algebra
Yimin Wei (Author), Weiyang Ding (Author)
9780128039533
Paperback, published 15 August 2016
148 pages
22.9 x 15.1 x 1.1 cm, 0.18 kg
"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
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.
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
Subject Areas: Real analysis, real variables [PBKB]
