Maolin Che, Yimin Wei

Theory and Computation of Complex Tensors and its Applications

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer Nature Singapore / Springer, Berlin
• Artikelnr. des Verlages: 978-981-15-2061-7
• 1st ed. 2020
• Seitenzahl: 264
• Erscheinungstermin: 2. April 2021
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 406g
• ISBN-13: 9789811520617
• ISBN-10: 9811520615
• Artikelnr.: 61359172

Inhaltsangabe

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.