Theory and Computation of Complex Tensors and its Applications

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.

List of contents

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.

Product details

• Authors: Maoli Che, Maolin Che, Yimin Wei
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 16.04.2021
• EAN: 9789811520617
• ISBN: 978-981-1520-61-7
• No. of pages: 250
• Dimensions: 155 mm x 14 mm x 235 mm
• Illustrations: XII, 250 p. 48 illus., 22 illus. in color.
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra