Theory and Computation of Tensors

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  • Publisher : Academic Press
  • Release : 28 August 2016
  • ISBN : 9780128039809
  • Page : 148 pages
  • Rating : 4.5/5 from 103 voters

Theory and Computation of Tensors Book PDF summary

Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships. Provides an introduction of recent results about tensors Investigates theories and computations of tensors to broaden perspectives on matrices Discusses how to extend numerical linear algebra to numerical multi-linear algebra Offers examples of how researchers and students can engage in research and the applications of tensors and multi-dimensional arrays

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Theory and Computation of Tensors

Theory and Computation of Tensors
  • Author : Yimin Wei,Weiyang Ding
  • Publisher : Academic Press
  • Release Date : 2016-08-28
  • ISBN : 9780128039809
DOWNLOAD BOOKTheory and Computation of Tensors

Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships. Provides an introduction of recent results about tensors Investigates theories and computations of tensors to broaden perspectives on matrices Discusses how to extend numerical linear

Theory and Computation of Complex Tensors and its Applications

Theory and Computation of Complex Tensors and its Applications
  • Author : Maolin Che,Yimin Wei
  • Publisher : Springer Nature
  • Release Date : 2020-04-01
  • ISBN : 9789811520594
DOWNLOAD BOOKTheory and Computation of Complex Tensors and its Applications

The book provides an introduction of very recent results about the tensors and mainly focuses on the authors' work and perspective. A systematic description about how to extend the numerical linear algebra to the numerical multi-linear algebra is also delivered in this book. The authors design the neural network model for the computation of the rank-one approximation of real tensors, a normalization algorithm to convert some nonnegative tensors to plane stochastic tensors and a probabilistic algorithm for locating a positive

Theory and Computation of Tensors

Theory and Computation of Tensors
  • Author : Yimin Wei,Weiyang Ding
  • Publisher : Academic Press
  • Release Date : 2016-09-01
  • ISBN : 0128039531
DOWNLOAD BOOKTheory and Computation of Tensors

"Theory and Computation of Tensors: Multi-Dimensional Arrays" investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships. Provides an introduction of recent results about tensorsInvestigates theories and computations of tensors to broaden perspectives on matricesDiscusses how to extend numerical linear algebra to

Tensors for Data Processing

Tensors for Data Processing
  • Author : Yipeng Liu
  • Publisher : Academic Press
  • Release Date : 2021-10-21
  • ISBN : 9780323859653
DOWNLOAD BOOKTensors for Data Processing

Tensors for Data Processing: Theory, Methods and Applications presents both classical and state-of-the-art methods on tensor computation for data processing, covering computation theories, processing methods, computing and engineering applications, with an emphasis on techniques for data processing. This reference is ideal for students, researchers and industry developers who want to understand and use tensor-based data processing theories and methods. As a higher-order generalization of a matrix, tensor-based processing can avoid multi-linear data structure loss that occurs in classical matrix-based data

Computation of Nonlinear Structures

Computation of Nonlinear Structures
  • Author : Debabrata Ray
  • Publisher : John Wiley & Sons
  • Release Date : 2015-12-14
  • ISBN : 9781118996959
DOWNLOAD BOOKComputation of Nonlinear Structures

Comprehensively introduces linear and nonlinear structural analysis through mesh generation, solid mechanics and a new numerical methodology called c-type finite element method Takes a self-contained approach of including all the essential background materials such as differential geometry, mesh generation, tensor analysis with particular elaboration on rotation tensor, finite element methodology and numerical analysis for a thorough understanding of the topics Presents for the first time in closed form the geometric stiffness, the mass, the gyroscopic damping and the centrifugal stiffness

Tensor Spaces and Numerical Tensor Calculus

Tensor Spaces and Numerical Tensor Calculus
  • Author : Wolfgang Hackbusch
  • Publisher : Springer Nature
  • Release Date : 2019-12-16
  • ISBN : 9783030355548
DOWNLOAD BOOKTensor Spaces and Numerical Tensor Calculus

Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry,

Atomic and Molecular Nonlinear Optics: Theory, Experiment and Computation

Atomic and Molecular Nonlinear Optics: Theory, Experiment and Computation
  • Author : G. Maroulis,T. Bancewicz,B. Champagne
  • Publisher : IOS Press
  • Release Date : 2011-05-27
  • ISBN : 9781607507420
DOWNLOAD BOOKAtomic and Molecular Nonlinear Optics: Theory, Experiment and Computation

The papers collected in this volume in honor of the late Stanisław Kielich cover an impressive range of modern subjects in molecular science. These subjects include, among others, the nonlinear optics of molecules, new approaches to the electronic structure of large molecules, the properties of carbon nanotubes, fluorescence polarization spectroscopy, computational studies of systems of fundamental interest to collision-induced spectroscopy, the simulation of fluids, NLO materials, chemical bonding in complex molecules, the NLO properties of functionalized DNA and the

Tensors

Tensors
  • Author : J. M. Landsberg
  • Publisher : American Mathematical Soc.
  • Release Date : 2011-12-14
  • ISBN : 9780821869079
DOWNLOAD BOOKTensors

Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and