Theory and Computation of Tensors - 1st Edition - ISBN: 9780128039533, 9780128039809

Theory and Computation of Tensors

1st Edition

Multi-Dimensional Arrays

Authors: Yimin Wei Weiyang Ding
eBook ISBN: 9780128039809
Paperback ISBN: 9780128039533
Imprint: Academic Press
Published Date: 12th August 2016
Page Count: 148
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Description

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.

Key Features

  • Provides an introduction of recent results about tensors
  • Investigates theories and computations of tensors to broaden perspectives on matrices
  • Discusses how to extend numerical linear algebra to numerical multi-linear algebra
  • Offers examples of how researchers and students can engage in research and the applications of tensors and multi-dimensional arrays

Readership

Researchers and students in applied and computational mathematics, computer science, linear algebra and engineering

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

Details

No. of pages:
148
Language:
English
Copyright:
© Academic Press 2017
Published:
Imprint:
Academic Press
eBook ISBN:
9780128039809
Paperback ISBN:
9780128039533

About the Author

Yimin Wei

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.

Affiliations and Expertise

Professor,School of Mathematical Sciences, Fudan University, Shanghai, China

Weiyang Ding

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.

Affiliations and Expertise

Ph.D student, School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China

Reviews

"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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