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Tensor analysis :spectral theory and...

Luo, Ziyan,

Tensor analysis :spectral theory and special tensors /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Tensor analysis :Liqun Qi, Ziyan Luo.
其他題名:	spectral theory and special tensors /
作者:	Qi, Liqun,
其他作者:	Luo, Ziyan,
面頁冊數:	1 online resource
標題:	Calculus of tensors.
電子資源:	http://epubs.siam.org/doi/book/10.1137/1.9781611974751
電子資源:	https://login.proxy.bib.uottawa.ca/login?url=http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744
電子資源:	http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744
ISBN:	9781611974751 :

Tensor analysis :spectral theory and special tensors /
Qi, Liqun,

Tensor analysis :spectral theory and special tensors /Liqun Qi, Ziyan Luo. - 1 online resource - Other titles in applied mathematics. - Other titles in applied mathematics..

Includes bibliographical references and index.

Preface -- 1. Introduction -- 2. Eigenvalues of tensors -- 3. Nonnegative tensors -- 4. Spectral hypergraph theory via tensors -- 5. Positive semidefinite tensors -- 6. Completely positive tensors and copositive tensors.

Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory--some of which are nontrivial--have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on the spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors, which is covered in a chapter.

ISBN: 9781611974751 :NTD2200

Standard No.: OT151SIAM

Publisher. No.: OT151SIAM

LCCN: 2016059774Subjects--Topical Terms:

210256
Calculus of tensors.
Subjects--Index Terms:

TensorsIndex Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA433

Dewey Class. No.: 515/.63

Tensor analysis :spectral theory and special tensors /
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035 $a (OCoLC)967457450
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100 1 $a Qi, Liqun, $e author. $3 865345
245 1 0 $a Tensor analysis : $b spectral theory and special tensors / $c Liqun Qi, Ziyan Luo.
264 1 $a Philadelphia : $b Society for Industrial and Applied Mathematics, $c [2017]
300 $a 1 online resource
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338 $a online resource $b cr $2 rdacarrier
490 1 $a Other titles in applied mathematics
504 $a Includes bibliographical references and index.
505 0 $a Preface -- 1. Introduction -- 2. Eigenvalues of tensors -- 3. Nonnegative tensors -- 4. Spectral hypergraph theory via tensors -- 5. Positive semidefinite tensors -- 6. Completely positive tensors and copositive tensors.
520 3 $a Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory--some of which are nontrivial--have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on the spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors, which is covered in a chapter.
588 $a Description based on print version record.
650 0 $a Calculus of tensors. $3 210256
653 $a Tensors
653 $a Eigenvalues
653 $a Multilinear algebra
653 $a Hypergraphs
653 $a Spectral theory
655 4 $a Electronic books. $2 local. $3 214472
700 1 $a Luo, Ziyan, $e author. $3 865346
776 0 8 $i Print version: $a Qi, Liqun. $t Tensor analysis $d Philadelphia : Society for Industrial and Applied Mathematics, [2017] $z 9781611974744 $w (DLC) 2016059092
830 0 $a Other titles in applied mathematics. $3 865347
856 4 0 $3 SIAM $u http://epubs.siam.org/doi/book/10.1137/1.9781611974751
856 4 0 $3 SIAM $u https://login.proxy.bib.uottawa.ca/login?url=http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744 $z SIAM Ebooks (Restricted to University of Ottawa)
856 4 0 $3 SIAM $u http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744
994 $a C0 $b TWNUK

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http://epubs.siam.org/doi/book/10.1137/1.9781611974751
https://login.proxy.bib.uottawa.ca/login?url=http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744
http://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.9781611974744

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