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＜電子ブック＞
Theory and Computation of Complex Tensors and its Applications / by Maolin Che, Yimin Wei

版	1st ed. 2020.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2020
大きさ	XII, 250 p. 48 illus., 22 illus. in color : online resource
著者標目	*Che, Maolin author Wei, Yimin author SpringerLink (Online service)
件　名	LCSH:Algebras, Linear LCSH:Numerical analysis LCSH:Geometry, Differential FREE:Linear Algebra FREE:Numerical Analysis FREE:Differential Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-15-2059-4

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