From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
  • Release Date : 18 May 2019
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 364 pages
  • ISBN 13 : 9780128178027
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Download or read book entitled From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems by author: Daizhan Cheng which was release on 18 May 2019 and published by Academic Press with total page 364 pages . This book available in PDF, EPUB and Kindle Format. 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.