Daizhan Cheng,
Daizhan (Institute of Systems Science, AMSS, Chinese Academy of Sciences, China) Cheng
From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
Paperback Engels 2019 9780128178010Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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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Inhoudsopgave
<p>1. Semi-tensor product of matrices2. Boolean networks3. Finite games4. Equivalence and lattice structures5. Topological structure on quotient space6. Differential geometry on set of matrices7. Cross-dimensional Lie algebra and Lie group8. Second matrix-matrix semi-tensor product9. Structure on set of vectors10. Dimension-varying linear system11. Dimension-varying linear control system12. Generalized dynamic systems13. Dimension-varying nonlinear dynamic systemsA. Mathematical preliminaries</p>
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