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Theory and Computation of Complex Tensors and its Applications

Theory and Computation of Complex Tensors and its Applications
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
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