Theory and Computation of Complex Tensors and its Applications

Author:   Maolin Che ,  Yimin Wei
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2020
ISBN:  

9789811520617


Pages:   250
Publication Date:   02 April 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Theory and Computation of Complex Tensors and its Applications


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Overview

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.

Full Product Details

Author:   Maolin Che ,  Yimin Wei
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2020
Weight:   0.454kg
ISBN:  

9789811520617


ISBN 10:   9811520615
Pages:   250
Publication Date:   02 April 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table 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.

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