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  • Book
  • © 2018

Tensor Eigenvalues and Their Applications

  • Is the first comprehensive book on various applications of eigenvalues of tensors
  • Discusses applied mathematics theoretical topics as well as real-world applications
  • Offers a ready-to-use guide for applied mathematicians and engineers

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
  2. Preliminaries

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 1-7
  3. Multilinear Systems

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 9-47
  4. Hankel Tensor Computation and Exponential Data Fitting

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 49-64
  5. Tensor Complementarity Problems

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 65-134
  6. Tensor Eigenvalue Complementarity Problems

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 135-182
  7. Higher Order Diffusion Tensor Imaging

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 183-206
  8. Third Order Tensors in Physics and Mechanics

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 207-248
  9. Fourth Order Tensors in Physics and Mechanics

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 249-284
  10. Higher Order Tensors in Quantum Physics

    • Liqun Qi, Haibin Chen, Yannan Chen
    Pages 285-311
  11. Back Matter

    Pages 313-329

About this book

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.


Reviews

“This carefully written book is really useful for students, researchers, practitioners, and anybody who is interested in tensors, numerical multilinear algebra, and related subjects. This book will provide a good base for further research on tensor eigenvalue applications in these and some more areas. I definitely recommend this book!” (Guyan Ni, Mathematical Reviews, December, 2018)

Authors and Affiliations

  • Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, Hong Kong

    Liqun Qi

  • School of Management Sciences, Qufu Normal University, Rizhao, China

    Haibin Chen

  • The Hong Kong Polytechnic University, Hong Kong, Hong Kong

    Yannan Chen

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access