Theory and Computation of Complex Tensors and its Applications [[electronic resource] /] / by Maolin Che, Yimin Wei

• Autore: Che Maolin
• Pubblicazione: Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
• Edizione: 1st ed. 2020.
• Descrizione fisica: 1 online resource (XII, 250 p. 48 illus., 22 illus. in color.)
• Disciplina: 512.57
• Soggetto topico: Matrix theory; Algebra; Numerical analysis; Differential geometry; Linear and Multilinear Algebras, Matrix Theory; Numerical Analysis; Differential Geometry
• Persona (resp. second.): WeiYimin
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Theory and Computation of Complex Tensors and its Applications
• ISBN: 981-15-2059-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996418259603316
• Lo trovi qui: Univ. di Salerno