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Author Cheng, Daizhan, author.

Title From dimension-free matrix theory to cross -dimensional dynamic systems / Daizhan Cheng.

Publication Info. London, United Kingdom ; San Diego, CA, United States : Academic Press, an imprint of Elsevier, [2019]

Copies

Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Description 1 online resource (xix, 343 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Mathematics in Science and Engineering
Mathematics in science and engineering.
Bibliography Includes bibliographical references and index.
Note Online resource; title from digital title page (ScienceDirect, viewed July 14, 2020).
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
Contents 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.
Subject Matrices.
Lie algebras.
Lie groups.
Dynamics.
Tensor products.
Matrices.
Algèbres de Lie.
Groupes de Lie.
Dynamique.
Produits tensoriels.
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Matrices
Tensor products
Dynamics
Lie algebras
Lie groups
Other Form: Print version: Cheng, Daizhan. From dimension-free matrix theory to cross -dimensional dynamic systems. London, United Kingdom : Elsevier Academic Press, [2019] 0128178019 (OCoLC)1065720728
ISBN 9780128178027 (electronic bk. ; ePub)
0128178027 (electronic bk. ; ePub)
9780128178010 (print)
0128178019 (print)
Standard No. AU@ 000065379620
AU@ 000066135735
AU@ 000068475609

 
    
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