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From dimension-free matrix theory to cross-dimensional dynamic systems

Author: Goong Chen; Daizhan Cheng
Publisher: London : Academic Press, 2019.
Edition/Format:   eBook : Document : English : First editionView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Goong Chen; Daizhan Cheng
ISBN: 9780128178027 0128178027
OCLC Number: 1102049109
Description: 1 online resource.
Contents: 1. Semi-tensor product of matrices 2. Boolean networks 3. Finite games 4. Equivalence and lattice structures 5. Topological structure on quotient space 6. Differential geometry on set of matrices 7. Cross-dimensional Lie algebra and Lie group 8. Second matrix-matrix semi-tensor product 9. Structure on set of vectors 10. Dimension-varying linear system 11. Dimension-varying linear control system 12. Generalized dynamic systems 13. Dimension-varying nonlinear dynamic systems A. Mathematical preliminaries
Responsibility: Goong Chen, Daizhan Cheng.

Abstract:

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.

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