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Theory and computation of complex te...

Che, Maolin.

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Theory and computation of complex tensors and its applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory and computation of complex tensors and its applications/ by Maolin Che, Yimin Wei.
Author:	Che, Maolin.
other author:	Wei, Yimin.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xii, 250 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Introduction -- The pseudo-spectrum theory -- Perturbation theory -- Tensor complementarity problems -- Plane stochastic tensors -- Neural Networks -- US- and U-eigenpairs of complex tensors -- Randomized algorithms -- Bibliography -- Index.
Contained By:	Springer eBooks
Subject:	Tensor algebra. -
Online resource:	https://doi.org/10.1007/978-981-15-2059-4
ISBN:	9789811520594

Theory and computation of complex tensors and its applications
Che, Maolin.

Theory and computation of complex tensors and its applications[electronic resource] /by Maolin Che, Yimin Wei. - Singapore :Springer Singapore :2020. - xii, 250 p. :ill., digital ;24 cm.

Preface -- Introduction -- The pseudo-spectrum theory -- Perturbation theory -- Tensor complementarity problems -- Plane stochastic tensors -- Neural Networks -- US- and U-eigenpairs of complex tensors -- Randomized algorithms -- Bibliography -- Index.

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 diagonal in a nonnegative tensors, adaptive randomized algorithms for computing the approximate tensor decompositions, and the QR type method for computing U-eigenpairs of complex tensors. This book could be used for the Graduate course, such as Introduction to Tensor. Researchers may also find it helpful as a reference in tensor research.

ISBN: 9789811520594

Standard No.: 10.1007/978-981-15-2059-4doiSubjects--Topical Terms:

765822
Tensor algebra.

LC Class. No.: QA200 / .C446 2020

Dewey Class. No.: 515.63

Theory and computation of complex tensors and its applications
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020 $a 9789811520594 $q (electronic bk.)
020 $a 9789811520587 $q (paper)
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035 $a 978-981-15-2059-4
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100 1 $a Che, Maolin. $3 3450335
245 1 0 $a Theory and computation of complex tensors and its applications $h [electronic resource] / $c by Maolin Che, Yimin Wei.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xii, 250 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- Introduction -- The pseudo-spectrum theory -- Perturbation theory -- Tensor complementarity problems -- Plane stochastic tensors -- Neural Networks -- US- and U-eigenpairs of complex tensors -- Randomized algorithms -- Bibliography -- Index.
520 $a 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 diagonal in a nonnegative tensors, adaptive randomized algorithms for computing the approximate tensor decompositions, and the QR type method for computing U-eigenpairs of complex tensors. This book could be used for the Graduate course, such as Introduction to Tensor. Researchers may also find it helpful as a reference in tensor research.
650 0 $a Tensor algebra. $3 765822
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Wei, Yimin. $3 3264814
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-15-2059-4
950 $a Mathematics and Statistics (Springer-11649)