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From dimension-free matrix theory to cross -dimensional 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 promi...

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Bibliographic Details
Main Author: Cheng, Daizhan (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: London, United Kingdom ; San Diego, CA, United States : Academic Press, an imprint of Elsevier, [2019]
Series:Mathematics in science and engineering.
Subjects:
Matrices.
Lie algebras.
Lie groups.
Dynamics.
Tensor products.
Algèbres de Lie.
Groupes de Lie.
Dynamique.
Produits tensoriels.
SCIENCE > Mechanics > General.
SCIENCE > Mechanics > Solids.
Matrices
Tensor products
Dynamics
Lie algebras
Lie groups
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:"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
Physical Description:1 online resource (xix, 343 pages) : illustrations
Bibliography:Includes bibliographical references and index.
ISBN:9780128178027
0128178027