Theory and Computation of Complex Tensors and its Applications
1st Edition
Published on 1. April 2020
XII, 250 pages
978-981-15-2059-4 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Publishing group
Springer Singapore
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XII, 250 p. 48 illus., 22 illus. in color.
File size
4,21 MB
ISBN-13
978-981-15-2059-4 (9789811520594)
DOI
10.1007/978-981-15-2059-4
Schweitzer Classification
Other editions
Additional editions
Maolin Che | Yimin Wei
Theory and Computation of Complex Tensors and its Applications
Book
04/2020
Springer
€128.39
Shipment within 3-4 weeks
Content
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.
