LEADER 03222nam 22005775 450 001 996418259603316 005 20200630215506.0 010 $a981-15-2059-3 024 7 $a10.1007/978-981-15-2059-4 035 $a(CKB)4100000010770784 035 $a(DE-He213)978-981-15-2059-4 035 $a(MiAaPQ)EBC6154415 035 $a(PPN)243759827 035 $a(EXLCZ)994100000010770784 100 $a20200401d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory and Computation of Complex Tensors and its Applications$b[electronic resource] /$fby Maolin Che, Yimin Wei 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2020. 215 $a1 online resource (XII, 250 p. 48 illus., 22 illus. in color.) 311 $a981-15-2058-5 327 $aPreface -- 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. 330 $aThe 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. 606 $aMatrix theory 606 $aAlgebra 606 $aNumerical analysis 606 $aDifferential geometry 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aNumerical analysis. 615 0$aDifferential geometry. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aNumerical Analysis. 615 24$aDifferential Geometry. 676 $a512.57 700 $aChe$b Maolin$4aut$4http://id.loc.gov/vocabulary/relators/aut$01016393 702 $aWei$b Yimin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418259603316 996 $aTheory and Computation of Complex Tensors and its Applications$92377957 997 $aUNISA