Tensor Eigenvalues and Their Applications

by Liqun Qi, Haibin Chen, Yannan Chen

Overview

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.

Product Details

ISBN-13:	9789811080579
Publisher:	Springer Nature Singapore
Publication date:	03/31/2018
Series:	Advances in Mechanics and Mathematics , #39
Edition description:	1st ed. 2018
Pages:	329
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Preliminaries.- Multilinear Systems.- Hankel Tensor Computation and Exponential Data Fitting.- Tensor Complementarity Problems.- Tensor Eigenvalue Complementarity Problems.- Higher Order Diffusion Tensor Imaging.- Third Order Tensors in Physics and Mechanics.- Fourth Order Tensors in Physics and Mechanics.- Higher Order Tensors in Quantum Physics.- References.- Index.

Editorial 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)

From the Publisher