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From dimension-free matrix theory to...

Cheng, Daizhan,

From dimension-free matrix theory to cross -dimensional dynamic systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	From dimension-free matrix theory to cross -dimensional dynamic systemsDaizhan Cheng.
Author:	Cheng, Daizhan,
Published:	London, United Kingdom ;Academic Press, an imprint of Elsevier,2019.
Description:	1 online resource (xix, 343 p.) :ill.
Subject:	Matrices.
Online resource:	https://www.sciencedirect.com/science/book/9780128178010
ISBN:	9780128178027 (electronic bk.)

From dimension-free matrix theory to cross -dimensional dynamic systems
Cheng, Daizhan,

From dimension-free matrix theory to cross -dimensional dynamic systems[electronic resource] /Daizhan Cheng. - London, United Kingdom ;Academic Press, an imprint of Elsevier,2019. - 1 online resource (xix, 343 p.) :ill. - Mathematics in Science and Engineering. - Mathematics in science and engineering..

Includes bibliographical references and index.

Semi-tensor product of matrices -- Boolean networks -- Finite games -- Equivalence and lattice structures -- Topological structure on quotient space -- Differential geometry on set of matrices -- Cross-dimensional Lie algebra and Lie group -- Second matrix-matrix semi-tensor product -- Structure on set of vectors -- Dimension-varying linear system -- Dimension-varying linear control system -- Generalized dynamic systems -- Dimension-varying nonlinear dynamic systems.

"From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications."--Provided by publisher.

ISBN: 9780128178027 (electronic bk.)Subjects--Topical Terms:

181876
Matrices.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA845

Dewey Class. No.: 531.11

From dimension-free matrix theory to cross -dimensional dynamic systems
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245 1 0 $a From dimension-free matrix theory to cross -dimensional dynamic systems $h [electronic resource] / $c Daizhan Cheng.
260 $a London, United Kingdom ; $a San Diego, CA, United States : $b Academic Press, an imprint of Elsevier, $c 2019.
300 $a 1 online resource (xix, 343 p.) : $b ill.
490 1 $a Mathematics in Science and Engineering
504 $a Includes bibliographical references and index.
505 0 $a Semi-tensor product of matrices -- Boolean networks -- Finite games -- Equivalence and lattice structures -- Topological structure on quotient space -- Differential geometry on set of matrices -- Cross-dimensional Lie algebra and Lie group -- Second matrix-matrix semi-tensor product -- Structure on set of vectors -- Dimension-varying linear system -- Dimension-varying linear control system -- Generalized dynamic systems -- Dimension-varying nonlinear dynamic systems.
520 $a "From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications."--Provided by publisher.
588 0 $a Online resource; title from digital title page (ScienceDirect, viewed July 14, 2020).
650 0 $a Matrices. $3 181876
650 0 $a Lie algebras. $3 191078
650 0 $a Lie groups. $3 190898
650 0 $a Dynamics. $3 189568
650 0 $a Tensor products. $3 349010
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830 0 $a Mathematics in science and engineering. $3 845867
856 4 0 $u https://www.sciencedirect.com/science/book/9780128178010