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Tensor-based dynamical systems :theory and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Tensor-based dynamical systems :Can Chen.
Reminder of title:	theory and applications /
Author:	Chen, Can,
Published:	Cham, Switzerland :Springer International Publishing AG,c2024.
Description:	xv, 106 p. :ill. (chiefly col.) ;24 cm.
Subject:	Tensor algebra.
ISBN:	9783031545078 (pbk.) :

Tensor-based dynamical systems :theory and applications /
Chen, Can,

Tensor-based dynamical systems :theory and applications /Can Chen. - Cham, Switzerland :Springer International Publishing AG,c2024. - xv, 106 p. :ill. (chiefly col.) ;24 cm. - Synthesis lectures on mathematics & statistics,1938-1743. - Synthesis lectures on mathematics & statistics (Springer (Firm)),.

Includes bibliographical references.

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.

ISBN: 9783031545078 (pbk.) :NT$1890Subjects--Topical Terms:

989515
Tensor algebra.

LC Class. No.: QA200 / .C44 2024

Dewey Class. No.: 512/.57

Tensor-based dynamical systems :theory and applications /
LDR:01841cam a2200277 a 4500 001 675769
003 OCoLC
005 20250620031923.0
008 250818s2024 sz a b 000 0 eng d
020 $a 9783031545078 (pbk.) : $c NT$1890
020 $a 3031545079 (pbk.)
020 $a 9783031545047
020 $a 3031545044
020 $z 9783031545054 (ebook)
035 $a (OCoLC)1419058451
035 $a on1419058451
040 $a UK $b eng $c UK
050 4 $a QA200 $b .C44 2024
082 0 4 $a 512/.57 $2 23
082 0 4 $a 515.63 $2 23
100 1 $a Chen, Can, $e author. $3 989513
245 1 0 $a Tensor-based dynamical systems : $b theory and applications / $c Can Chen.
260 $a Cham, Switzerland : $b Springer International Publishing AG, $c c2024.
300 $a xv, 106 p. : $b ill. (chiefly col.) ; $c 24 cm.
490 1 $a Synthesis lectures on mathematics & statistics, $x 1938-1743
504 $a Includes bibliographical references.
505 0 $a 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.
520 $a 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.
650 0 $a Tensor algebra. $3 989515
650 0 $a Dynamics. $3 515209
830 0 $a Synthesis lectures on mathematics & statistics (Springer (Firm)), $x 1938-1743. $3 989514