Tensor Eigenvalues and Their Applications

  • Liqun Qi
  • Haibin Chen
  • Yannan Chen

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 39)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 1-7
  3. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 9-47
  4. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 49-64
  5. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 65-134
  6. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 135-182
  7. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 183-206
  8. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 207-248
  9. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 249-284
  10. Liqun Qi, Haibin Chen, Yannan Chen
    Pages 285-311
  11. Back Matter
    Pages 313-329

About this book

Introduction

This book offers an introduction to applications prompted by tensor analysis, especially by the spectral tensor theory developed in recent years. It covers applications of tensor eigenvalues in multilinear systems, exponential data fitting, tensor complementarity problems, and tensor eigenvalue complementarity problems. It also addresses higher-order diffusion tensor imaging, third-order symmetric and traceless tensors in liquid crystals, piezoelectric tensors, strong ellipticity for elasticity tensors, and higher-order tensors in quantum physics. This book is a valuable reference resource for researchers and graduate students who are interested in applications of tensor eigenvalues.

Keywords

Multilinear systems Spherical polynomial optimization Higher-order tensor imaging Tensor eigenvalue complementarity problems Strong ellipticity of elastic tensors Quantum entanglement problems

Authors and affiliations

  • Liqun Qi
    • 1
  • Haibin Chen
    • 2
  • Yannan Chen
    • 3
  1. 1.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong KongHong Kong
  2. 2.School of Management SciencesQufu Normal UniversityRizhaoChina
  3. 3.The Hong Kong Polytechnic UniversityHong KongHong Kong

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-8058-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-8057-9
  • Online ISBN 978-981-10-8058-6
  • Series Print ISSN 1571-8689
  • Series Online ISSN 1876-9896
  • About this book