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 : /5 from reviews
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Download or read book entitled Theory and Computation of Tensors by author: Yimin Wei which was release on 28 August 2016 and published by Academic Press with total page 148 pages . This book available in PDF, EPUB and Kindle Format. 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 ...

An Introduction to Tensors and Group Theory for Physicists

An Introduction to Tensors and Group Theory for Physicists
  • Author : Nadir Jeevanjee
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-08-26
  • Total pages : 242
  • ISBN : 0128039809
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Summary : An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and ...

Theory of Holors

Theory of Holors
  • Author : Parry Hiram Moon,Domina Eberle Spencer
  • Publisher : Cambridge University Press
  • Release Date : 2005-09-08
  • Total pages : 416
  • ISBN : 0128039809
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Summary : Establishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment....

Tensor Numerical Methods in Scientific Computing

Tensor Numerical Methods in Scientific Computing
  • Author : Boris N. Khoromskij
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2018-06-11
  • Total pages : 379
  • ISBN : 0128039809
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Summary : The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor ...

University of Wisconsin Center for Plasma Theory and Computation Report

University of Wisconsin Center for Plasma Theory and Computation Report
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1989
  • Total pages : 212
  • ISBN : 0128039809
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Summary : Read online University of Wisconsin Center for Plasma Theory and Computation Report written by , published by which was released on 1989. Download full University of Wisconsin Center for Plasma Theory and Computation Report Books now! Available in PDF, ePub and Kindle....

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

Tensors
  • Author : Anadi Jiban Das
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-10-05
  • Total pages : 290
  • ISBN : 0128039809
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Summary : Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems ...

A Primer in Tensor Analysis and Relativity

A Primer in Tensor Analysis and Relativity
  • Author : Ilya L. Shapiro
  • Publisher : Springer Nature
  • Release Date : 2019-08-30
  • Total pages : 324
  • ISBN : 0128039809
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Summary : This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, ...

Tensor Analysis with Applications in Mechanics

Tensor Analysis with Applications in Mechanics
  • Author : L. P. Lebedev
  • Publisher : World Scientific
  • Release Date : 2010
  • Total pages : 380
  • ISBN : 0128039809
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Summary : The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that ...

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 ...

Tensor Categories

Tensor Categories
  • Author : Pavel Etingof,Shlomo Gelaki,Dmitri Nikshych,Victor Ostrik
  • Publisher : American Mathematical Soc.
  • Release Date : 2016-08-05
  • Total pages : 344
  • ISBN : 0128039809
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Summary : Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the ...

Tensor Algebra and Tensor Analysis for Engineers

Tensor Algebra and Tensor Analysis for Engineers
  • Author : Mikhail Itskov
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-04-30
  • Total pages : 247
  • ISBN : 0128039809
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Summary : There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is ...

Physical Components of Tensors

Physical Components of Tensors
  • Author : Wolf Altman,Antonio Marmo De Oliveira
  • Publisher : CRC Press
  • Release Date : 2014-11-11
  • Total pages : 200
  • ISBN : 0128039809
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Summary : Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in ...

Damage Mechanics Theory Computation and Practice

Damage Mechanics  Theory  Computation and Practice
  • Author : Khemais Saanouni
  • Publisher : Trans Tech Publications Ltd
  • Release Date : 2015-08-18
  • Total pages : 534
  • ISBN : 0128039809
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Summary : Collection of selected, peer reviewed papers from the 2nd International Conference on Damage Mechanics (ICDM2), July 8-11, 2015, Troyes, France. The 63 papers are grouped as follows: Chapter 1: Theoretical Modeling in Damage Mechanics; Chapter 2: Numerical Simulations in Damage Mechanics; Chapter 3: Engineering Application...