Tensor Eigenvalues and Their Applications

Liqun Qi, Haibin Chen, Yannan Chen (Autoren)

Buch | Hardcover

329 Seiten

2018 | 1st ed. 2018
Springer Verlag, Singapore
978-981-10-8057-9 (ISBN)

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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.

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.

“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)

Erscheinungsdatum	19.04.2018
Reihe/Serie	Advances in Mechanics and Mathematics ; 39
Zusatzinfo	11 Illustrations, color; 3 Illustrations, black and white; XIII, 329 p. 14 illus., 11 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	Higher-order tensor imaging • Multilinear systems • Quantum entanglement problems • Spherical polynomial optimization • Strong ellipticity of elastic tensors • Tensor eigenvalue complementarity problems
ISBN-10	981-10-8057-7 / 9811080577
ISBN-13	978-981-10-8057-9 / 9789811080579
Zustand	Neuware