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Tensor Eigenvalues and Their Applications
ISBN-13:
9789811080586
Veröffentl:
2018
Einband:
eBook
Seiten:
329
Autor:
Liqun Qi
Serie:
39, Advances in Mechanics and Mathematics
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Beschreibung:
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 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.