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Author Cheng, Daizhan, author.

Title From dimension-free matrix theory to cross -dimensional dynamic systems / Daizhan Cheng
Published London, United Kingdom ; San Diego, CA, United States : Academic Press, an imprint of Elsevier, [2019]
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Description 1 online resource (xix, 343 pages) : illustrations
Series Mathematics in Science and Engineering
Mathematics in science and engineering.
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
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
Bibliography Includes bibliographical references and index
Notes Online resource; title from digital title page (ScienceDirect, viewed July 14, 2020)
Subject Dynamics.
Lie algebras.
Lie groups.
Matrices.
Tensor products.
Dynamics.
Lie algebras.
Lie groups.
Matrices.
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Tensor products.
Form Electronic book
ISBN 0128178027
9780128178027