03078nam a22005895i 4500 978-3-031-54505-4 DE-He213 20251030111500.0 cr nn 008mamaa 240304s2024 sz | s |||| 0|eng d 9783031545054 978-3-031-54505-4 10.1007/978-3-031-54505-4 doi TA352-356 QC20.7.N6 TBJ bicssc GPFC bicssc SCI064000 bisacsh TBJ thema GPFC thema Chen, Can. author. aut http://id.loc.gov/vocabulary/relators/aut 72413 Tensor-Based Dynamical Systems [electronic resource] : Theory and Applications / by Can Chen. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XV, 106 p. 19 illus., 17 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Mathematics & Statistics, 1938-1751 Tensors and Tensor Algebra -- Tucker Product Representation -- Einstein Product Representation -- CP/tensor Train Decomposition Representation -- Tensor Vector Product Representation -- Contract Product Representation -- T-product Representation. This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems. Dynamics. 65524 Nonlinear theories. 65525 Control engineering. Algebra. 1501 Algebras, Linear. 71217 Applied Dynamical Systems. 65530 Control and Systems Theory. 65868 Algebra. 1501 Linear Algebra. 71220 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031545047 Printed edition: 9783031545061 Printed edition: 9783031545078 Synthesis Lectures on Mathematics & Statistics, 1938-1751 https://doi.org/10.1007/978-3-031-54505-4 ZDB-2-SXSC 58103 58103