Tensor Eigenvalues and Their Applications

✍ Scribed by Liqun Qi, Haibin Chen, Yannan Chen

Publisher: Springer Singapore
Year: 2018
Tongue: English
Leaves: 336
Series: Advances in Mechanics and Mathematics 39
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xiii
Preliminaries (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 1-7
Multilinear Systems (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 9-47
Hankel Tensor Computation and Exponential Data Fitting (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 49-64
Tensor Complementarity Problems (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 65-134
Tensor Eigenvalue Complementarity Problems (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 135-182
Higher Order Diffusion Tensor Imaging (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 183-206
Third Order Tensors in Physics and Mechanics (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 207-248
Fourth Order Tensors in Physics and Mechanics (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 249-284
Higher Order Tensors in Quantum Physics (Liqun Qi, Haibin Chen, Yannan Chen)....Pages 285-311
Back Matter ....Pages 313-329

✦ Subjects

Mathematics; Linear and Multilinear Algebras, Matrix Theory; Mathematical Applications in the Physical Sciences; Quantum Computing; Symbolic and Algebraic Manipulation; Algorithm Analysis and Problem Complexity

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