| Document Type
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BL
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| Record Number
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872550
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| Main Entry
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Cheng, Daizhan
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| Title & Author
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From dimension-free matrix theory to cross -dimensional dynamic systems /\ Daizhan Cheng.
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| Publication Statement
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London, United Kingdom ;San Diego, CA, United States :: Academic Press, an imprint of Elsevier,, [2019]
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| Series Statement
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Mathematics in Science and Engineering
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| Page. NO
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1 online resource (xix, 343 pages) :: illustrations
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| ISBN
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0128178027
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: 9780128178027
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0128178019
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9780128178010
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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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| Abstract
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"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.
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| Subject
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Dynamics.
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Lie algebras.
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Lie groups.
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Matrices.
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Tensor products.
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Dynamics.
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Lie algebras.
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Lie groups.
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Matrices.
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SCIENCE-- Mechanics-- General.
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SCIENCE-- Mechanics-- Solids.
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Tensor products.
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| Dewey Classification
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531.11
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| LC Classification
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QA188.C46 2019e
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QA845
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