书目名称 | Theory and Computation of Complex Tensors and its Applications |
编辑 | Maolin Che,Yimin Wei |
视频video | |
概述 | Introduces the neural network models and Takagi factorization for the computation of tensor rank-one approximations and US- (U-) eigenvalues.Enriches the properties of nonnegative tensors, defines the |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2020 |
关键词 | tensor spectral theory; tensor complementarity problems; nonnegative tensors; U-eigenpairs; randomized a |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-15-2059-4 |
isbn_softcover | 978-981-15-2061-7 |
isbn_ebook | 978-981-15-2059-4 |
copyright | Springer Nature Singapore Pte Ltd. 2020 |