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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.
"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)