Tensor Eigenvalues and Their Applications

1. Auflage 2018
ISBN: 978-981-10-8057-9
Verlag: Springer Nature Singapore

Buch, Englisch, 329 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 682 g

Reihe: Advances in mechanics and mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Qi, Liqun

Chen, Yannan

Chen, Haibin

Fachgebiete

• Mathematik | Informatik EDV | Informatik Technische Informatik Quantencomputer, DNA-Computing
• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

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.