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Theory and computation of complex te...
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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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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.
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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.
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Mathematics and Statistics (Springer-11649)
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EB QA200 .C446 2020
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