From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems (ePub)
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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.
- 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.
- Autor: Daizhan Cheng
- 2019, 364 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 0128178027
- ISBN-13: 9780128178027
- Erscheinungsdatum: 18.05.2019
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- Dateiformat: ePub
- Größe: 12 MB
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