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

Daizhan Cheng author

Format:Paperback

Publisher:Elsevier Science Publishing Co Inc

Published:21st May '19

Currently unavailable, and unfortunately no date known when it will be back

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

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.

"Dimension-free matrix theory and the cross-dimensional dynamic system theory presented in this book may be useful tools to handle and even model dimension-varying systems. The intended application areas are (i) genetic regulatory networks, where cells may die or be born at any time; (ii) the internet or some other service-based networks, where some users may join in or withdraw from time to time; (iii) some engineering applications, the modeling of spacecraft systems and vehicle clutch systems; etc. The results in the book are new. This book starts a new direction for further study." --Mathematical Reviews Clippings

ISBN: 9780128178010

Dimensions: unknown

Weight: 590g

364 pages