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An Introduction to Semi-Tensor Product of Matrices and Its Applications
Contributor(s): Cheng, Daizhan (Author), Qi, Hongsheng (Author), Zhao, Yin (Author)
ISBN: 9814374687     ISBN-13: 9789814374682
Publisher: World Scientific Publishing Company
OUR PRICE:   $209.00  
Product Type: Hardcover
Published: August 2012
Qty:
Additional Information
BISAC Categories:
- Mathematics | Algebra - Linear
- Mathematics | Applied
- Mathematics | Logic
Dewey: 515.724
Physical Information: 1.5" H x 6.1" W x 9" (2.15 lbs) 612 pages
 
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Publisher Description:
A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.