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Theory and Computation of Complex Tensors and its Applications
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Catalogue Information
Field name
Details
Dewey Class
512.5
Title
Theory and Computation of Complex Tensors and its Applications ([EBook]) / by Maolin Che, Yimin Wei.
Author
Che, Maolin
Added Personal Name
Wei, Yimin
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Singapore : : Springer Singapore : : Imprint: Springer, , 2020.
Physical Details
XII, 250 p. 48 illus., 22 illus. in color. : online resource.
ISBN
9789811520594
Summary Note
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.:
Contents note
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.
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-981-15-2059-4
Links to Related Works
Subject References:
Algebra
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Differential Geometry
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Linear and Multilinear Algebras, Matrix Theory
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Matrix theory
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Numerical Analysis
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Authors:
author
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Che, Maolin
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Wei, Yimin
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Corporate Authors:
SpringerLink (Online service)
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Classification:
512.5
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