Theory and Computation of Tensors

Theory and Computation of Tensors : Multi-Dimensional Arrays

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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.
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Product details

  • Paperback | 148 pages
  • 152 x 229 x 10.16mm | 180g
  • Academic Press Inc
  • San Diego, United States
  • English
  • black & white illustrations
  • 0128039531
  • 9780128039533

Table of contents

1. Introduction and Preliminaries

2. Hankel Tensors

3. Generalized Tensor Eigenvalue Problems

4. M-Tensors and Multi-Linear Equations 5. Tensor Logarithmic Norms 6. Multi-Linear Discriminant Analysis
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Review quote

"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
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About Weiyang Ding

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.
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