Tensor Eigenvalues and Their Applications

• Main Authors: Qi, Liqun (Author, http://id.loc.gov/vocabulary/relators/aut), Chen, Haibin (http://id.loc.gov/vocabulary/relators/aut), Chen, Yannan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Advances in Mechanics and Mathematics, 39
• Subjects: Matrix theory.; Algebra.; Mathematical physics.; Quantum computers.; Computer science-Mathematics.; Algorithms.; Linear and Multilinear Algebras, Matrix Theory.; Mathematical Applications in the Physical Sciences.; Quantum Computing.; Symbolic and Algebraic Manipulation.; Algorithm Analysis and Problem Complexity.

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 comp...

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. .