eBook - ePub

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

Name: From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
ISBN: 9780128178027

Daizhan Cheng,

364 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems

Daizhan Cheng,

About this book

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.- Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems.- Offers potential applications to the analysis and control of new dimension-varying systems.- Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

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Yes, you can access From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems by Daizhan Cheng in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.