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Tensor Eigenvalues and Their Applications

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...

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Bibliographic Details
Main Authors: Qi, Liqun, Chen, Haibin (Author), Chen, Yannan (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2018, 2018
Edition:1st ed. 2018
Series:Advances in Mechanics and Mathematics
Subjects:
Computer Science—mathematics
Quantum Computers
Symbolic And Algebraic Manipulation
Algorithms
Linear Algebra
Quantum Computing
Mathematical Physics
Algebras, Linear
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Tensor Eigenvalues and Their Applications  |h Elektronische Ressource  |c by Liqun Qi, Haibin Chen, Yannan Chen 
250 |a 1st ed. 2018 
260 |a Singapore  |b Springer Nature Singapore  |c 2018, 2018 
300 |a XIII, 329 p. 14 illus., 11 illus. in color  |b online resource 
505 0 |a 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. 
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653 |a Quantum computers 
653 |a Symbolic and Algebraic Manipulation 
653 |a Algorithms 
653 |a Linear Algebra 
653 |a Quantum Computing 
653 |a Mathematical Physics 
653 |a Mathematical physics 
653 |a Algebras, Linear 
700 1 |a Chen, Haibin  |e [author] 
700 1 |a Chen, Yannan  |e [author] 
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989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Advances in Mechanics and Mathematics 
856 4 0 |u https://doi.org/10.1007/978-981-10-8058-6?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 512.5 
520 |a 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 

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