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Tensor Eigenvalues and Their Applications: Advances in Mechanics and Mathematics, cartea 39

Autor Liqun Qi, Haibin Chen, Yannan Chen
en Limba Engleză Hardback – 17 apr 2018
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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Specificații

ISBN-13: 9789811080579
ISBN-10: 9811080577
Pagini: 315
Ilustrații: XIII, 329 p. 14 illus., 11 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.66 kg
Ediția:1st ed. 2018
Editura: Springer Nature Singapore
Colecția Springer
Seria Advances in Mechanics and Mathematics

Locul publicării:Singapore, Singapore

Cuprins

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. 

Recenzii

“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)

Textul de pe ultima copertă

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.


Caracteristici

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