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Theory and Computation of Complex Tensors and its Applications

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概要 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 al...gebra 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.続きを見る
目次 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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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2020 English/International

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登録日 2020.06.27
更新日 2020.06.28