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

Cheng, Daizhan

  • 出版商: Academic Press
  • 出版日期: 2019-05-21
  • 售價: $4,930
  • 貴賓價: 9.5$4,684
  • 語言: 英文
  • 頁數: 364
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0128178019
  • ISBN-13: 9780128178010
  • 海外代購書籍(需單獨結帳)

商品描述

From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product, a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. As dimension-varying systems are everywhere, this newly developed theory can revolutionize large data systems, such as genomics and bio-systems, 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
  • Includes a brand new dimension-free matrix theory and cross-dimensional dynamic system theory
  • Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid (semi-group with identity) of matrices with arbitrary dimensions