03222nam 22005775 450 99641825960331620200630215506.0981-15-2059-310.1007/978-981-15-2059-4(CKB)4100000010770784(DE-He213)978-981-15-2059-4(MiAaPQ)EBC6154415(PPN)243759827(EXLCZ)99410000001077078420200401d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierTheory and Computation of Complex Tensors and its Applications[electronic resource] /by Maolin Che, Yimin Wei1st ed. 2020.Singapore :Springer Singapore :Imprint: Springer,2020.1 online resource (XII, 250 p. 48 illus., 22 illus. in color.) 981-15-2058-5 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.Matrix theoryAlgebraNumerical analysisDifferential geometryLinear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Matrix theory.Algebra.Numerical analysis.Differential geometry.Linear and Multilinear Algebras, Matrix Theory.Numerical Analysis.Differential Geometry.512.57Che Maolinauthttp://id.loc.gov/vocabulary/relators/aut1016393Wei Yiminauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418259603316Theory and Computation of Complex Tensors and its Applications2377957UNISA