Theory and Applications Chen, Can. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XV, 106 p. 19 illus., 17 illus. in color. online resource. 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. 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. by Can Chen. Dynamics Nonlinear theories Control engineering Algebra Algebras, Linear Applied Dynamical Systems Control and Systems Theory Algebra Linear Algebra TA352-356 QC20.7.N6 9783031545054 https://doi.org/10.1007/978-3-031-54505-4 https://doi.org/10.1007/978-3-031-54505-4 240304 20251030111500.0 978-3-031-54505-4