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Author: Роэова,С.Н

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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 Authors: Cheng, Daizhan
Corporate Authors: Elsevier Science & Technology.
Published: Academic Press, an imprint of Elsevier,
Publisher Address: London, United Kingdom ; San Diego, CA, United States :
Publication Dates: [2019]
Literature type: eBook
Language: English
Series: Mathematics in Science and Engineering
Subjects:
Matrices.
Lie algebras.
Lie groups.
Dynamics.
Tensor products.
SCIENCE > General. > General.
SCIENCE > Solids. > Solids.
Electronic books.
Online Access: https://www.sciencedirect.com/science/book/9780128178010
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.
Carrier Form: 1 online resource (xix, 343 pages) : illustrations.
Bibliography: Includes bibliographical references and index.
ISBN: 9780128178027
0128178027
Index Number: QA845
CLC: TP33
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.

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