Theory and Computation of Tensors

Written By Yimin Wei
Theory and Computation of Tensors
  • Publsiher : Academic Press
  • Release : 28 August 2016
  • ISBN : 0128039809
  • Pages : 148 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Theory and Computation of Tensors written by Yimin Wei which was release on 28 August 2016, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

Theory and Computation of Tensors

Theory and Computation of Tensors
  • Author : Yimin Wei,Weiyang Ding
  • Publisher : Academic Press
  • Release Date : 2016-08-28
  • Total pages : 148
  • ISBN : 0128039809
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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 ...

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
  • Total pages : 250
  • ISBN : 0128039809
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Summary : 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 ...

Theory and Computation of Tensors

Theory and Computation of Tensors
  • Author : Yimin Wei,Weiyang Ding
  • Publisher : Academic Press
  • Release Date : 2016-09-01
  • Total pages : 148
  • ISBN : 0128039809
GET BOOK

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 ...

Sign Pattern for Generalized Inverses

Sign Pattern for Generalized Inverses
  • Author : Changjiang BU,Lizhu SUN,Yimin WEI
  • Publisher : EDP Sciences
  • Release Date : 2021-05-19T00:00:00+02:00
  • Total pages : 232
  • ISBN : 0128039809
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Summary : This book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory. The book provides both introductory materials and discussions to the areas in sign patterns for Moore–Penrose ...

Computation of Nonlinear Structures

Computation of Nonlinear Structures
  • Author : Debabrata Ray
  • Publisher : John Wiley & Sons
  • Release Date : 2015-12-14
  • Total pages : 992
  • ISBN : 0128039809
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Summary : 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 ...

Tensor Spaces and Numerical Tensor Calculus

Tensor Spaces and Numerical Tensor Calculus
  • Author : Wolfgang Hackbusch
  • Publisher : Springer Nature
  • Release Date : 2019-12-16
  • Total pages : 605
  • ISBN : 0128039809
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Summary : 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 ...

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
  • Total pages : 544
  • ISBN : 0128039809
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Summary : 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 ...

Tensors

Tensors
  • Author : J. M. Landsberg
  • Publisher : American Mathematical Soc.
  • Release Date : 2011-12-14
  • Total pages : 439
  • ISBN : 0128039809
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Summary : 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 ...

Computational Tensor Analysis of Shell Structures

Computational Tensor Analysis of Shell Structures
  • Author : Steve Naomis,Paul C.M. Lau
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 309
  • ISBN : 0128039809
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Summary : This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for ...

Tensors Asymptotic Geometry and Developments 2016 2018

Tensors  Asymptotic Geometry and Developments 2016   2018
  • Author : J.M. Landsberg
  • Publisher : American Mathematical Soc.
  • Release Date : 2019-07-05
  • Total pages : 144
  • ISBN : 0128039809
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Summary : Tensors are used throughout the sciences, especially in solid state physics and quantum information theory. This book brings a geometric perspective to the use of tensors in these areas. It begins with an introduction to the geometry of tensors and provides geometric expositions of the basics of quantum information theory, ...

Theoretical and Computational Research in the 21st Century

Theoretical and Computational Research in the 21st Century
  • Author : Nazmul Islam
  • Publisher : CRC Press
  • Release Date : 2014-10-28
  • Total pages : 282
  • ISBN : 0128039809
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Summary : This book focuses mainly on the recent developments of all types of theoretical, mathematical, and computational conceptions, as well as modelling and simulation of specific research themes covering all scientific and technical disciplines from chemistry, physics, and engineering to biology and medicine. The book contains timely reviews and research covering ...

High field EPR Spectroscopy on Proteins and Their Model Systems

High field EPR Spectroscopy on Proteins and Their Model Systems
  • Author : Klaus Möbius,Anton Savitsky
  • Publisher : Royal Society of Chemistry
  • Release Date : 2009-01-01
  • Total pages : 375
  • ISBN : 0128039809
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Summary : Understanding the major factors determining the specificity of transmembrane transfer processes in proteins is now a hot topic in molecular bio-science. Advanced electron paramagnetic resonance (EPR) at high magnetic fields is a powerful technique for characterizing the transient states of proteins in action. High-Field EPR Spectroscopy on Proteins and their ...

TENSORS

TENSORS
  • Author : AHSAN, ZAFAR
  • Publisher : PHI Learning Pvt. Ltd.
  • Release Date : 2015-05-21
  • Total pages : 240
  • ISBN : 0128039809
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Summary : The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information ...

EPR of Free Radicals in Solids I

EPR of Free Radicals in Solids I
  • Author : Anders Lund,Masaru Shiotani
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-12
  • Total pages : 414
  • ISBN : 0128039809
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Summary : EPR of Free Radicals in Solids: Trends in Methods and Applications, 2nd ed. presents a critical two volume review of the methods and applications of EPR (ESR) for the study of free radical processes in solids. Emphasis is on the progress made in the developments in EPR technology, in the ...

Algebraic and Computational Aspects of Real Tensor Ranks

Algebraic and Computational Aspects of Real Tensor Ranks
  • Author : Toshio Sakata,Toshio Sumi,Mitsuhiro Miyazaki
  • Publisher : Springer
  • Release Date : 2016-03-18
  • Total pages : 108
  • ISBN : 0128039809
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Summary : This book provides comprehensive summaries of theoretical (algebraic) and computational aspects of tensor ranks, maximal ranks, and typical ranks, over the real number field. Although tensor ranks have been often argued in the complex number field, it should be emphasized that this book treats real tensor ranks, which have direct ...