From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
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From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
Daizhan Cheng
Elsevier S&T
364 pages
ISBN-13: 978-0128178010
June 2019
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.