Theory and Computation of Complex Tensors and its Applications

Maolin Che, Yimin Wei (Autoren)

Buch | Softcover

250 Seiten

2021 | 1st ed. 2020
Springer Verlag, Singapore
978-981-15-2061-7 (ISBN)

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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.

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.

Erscheinungsdatum	09.04.2021
Zusatzinfo	22 Illustrations, color; 26 Illustrations, black and white; XII, 250 p. 48 illus., 22 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-15-2061-5 / 9811520615
ISBN-13	978-981-15-2061-7 / 9789811520617
Zustand	Neuware